DAVENPORT_HAROLD_v1
THE ROYAL COMMISSION ON HISTORICAL MANUSCRIPTS
Report on correspondence and papers of
HAROLD DAVENPORT
(1907-1969)
mathematician
deposited in the library of
Trinity College, Cambridge
Reproduced for the Contemporary Scientific Archives Centre
No 86/11
THE ROYAL COMMISSION ON HISTORICAL MANUSCRIPTS
Quality House, Quality Court, Chancery Lane,
London WC2A 1HP
1986
All rights reserved
(CSAC 112/3/86)
by
CSAC 112/3/86
CONTEMPORARY SCIENTIFIC ARCHIVES CENTRE
British National Committee for the History of Science, Medicine and Technology
under the guidance of the Royal Society’s
Catalogue of the papers and correspondence of
HAROLD DAVENPORT FRS
(1907 - 1969)
Compiled by:
Jeannine Alton
Peter Harper
Margaret Erskine
All rights reserved
Deposited in the Library of Trinity College, Cambridge
1986
H. Davenport
CSAC 112/3/86
The work of the Contemporary Scientific Archives Centre, and the
production of this catalogue, are made possible by the support of the following
societies and institutions:
The Biochemical Society
The Charles Babbage Foundation for the History of Information
Processing
The Institute of Physics
The Institution of Electrical Engineers
The Nuffield Foundation
The Rhodes Trustees
The Royal Society of London
The Institution of Mechanical Engineers
The Wolfson Foundation
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NOT ALL THE MATERIAL IN THE COLLECTION IS YET
AVAILABLE FOR CONSULTATION. ENQUIRIES SHOULD
BE ADDRESSED IN THE FIRST INSTANCE TO:
THE LIBRARIAN,
TRINITY COLLEGE,
CAMBRIDGE.
H. Davenport
CSAC 112/3/86
LIST OF CONTENTS
GENERAL INTRODUCTION
SECTION A
BIOGRAPHICAL AND PERSONAL
A.1 - A.137
SECTION B
SCHOOL AND UNIVERSITY NOTEBOOKS
AND LECTURE NOTES
Bi 8.93
SECTION C
LECTURES AND ADDRESSES
oy
t..190
SECTION D
PUBLICATIONS
B,1.4.0,213
Introduction to Section D
SECTION E
RESEARCH NOTES AND DRAFTS
Edom E 2435
SECTION G
CORRESPO NDENCE
Sto te.a78
Fei
ha
SECTION F
BIBLIOGRAPHY
Introduction to Section G
FACULTY OF MATHEMATICS,
CAMBRIDGE
INDEX OF CORRESPONDENTS
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GENERAL INTRODUCTION
PROVENANCE
The material was received from Mrs. Davenport at various dates 1983 - 84.
A little additional material was received from Professor
B.J. Birch in 1986.
OUTLINE OF THE CAREER OF HAROLD DAVENPORT
Davenport was born and educated in Accrington, where his gifts for mathe-
matics and chemistry were early recognised.
At the age of sixteen he was awarded
scholarships to attend Manchester University (1924 - 27) winning first-class honours
and the respect of such tutors as L. J. Mordell and E.A. Milne.
The latter encouraged
him to enter for a scholarship at Trinity College Cambridge, where he read for the
Tripos (1927 - 29), began research with J.E. Littlewood, won a Rayleigh Prize (1931)
and a Trinity Fellowship (1932 - 37).
Another important event of this period was
Davenport's acceptance of an invitation by H. Hasse to stay with him in Marburg, a visit
which enabled Davenport to meet several distinguished German mathematicians and to
DESCRIPTION OF THE COLLECTION
and work.
his work for the London Mathematical Society.
first American visit, to Stanford in 1947 - 48, occurred during the London period and
matics and Fellow of Trinity College, Cambridge, where he died in 1969.
new journal Mathematika (1953).
In 1958 he was elected Rouse Ball Professor of Mathe-
University College of North Wales, Bangor.
In 1945 Davenport, who had married
was followed by many later transatlantic journeys of varying duration.
It was also
learn the language thoroughly.
His first university post was a return to Manchester
Anne Lofthouse in 1944, moved to University College London as Astor Professor.
His
from
the Mathematics Department of University College that Davenport launched the
as Assistant Lecturer (1937 - 41) and in 1941 he was appointed to his first Chair at
His contributions to his subject, as
The collection, which is substantial, covers most aspects of Davenport's life
Less fully represented are his extensive travels for visits and conferences
(which can sometimes only be deduced from a jotted heading on a
lecture script) and
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student, teacher, writer and researcher, are however very well documented and the
collection as a whole is of pedagogical interest.
Section A (Biographical and personal) includes Davenport's own unpublished
reminiscences and reflections on his life's work, made shortly before his death with
the assistance of his wife and his colleague
D.J. Lewis (A.8 - A.10).
Other docu-
mentation on
his career includes, unusually, his examination scripts and marks awarded
at Manchester University in 1927, preserved by his principal tutor, L.J. Mordell (A.30,
A.31).
Section B (School and university notebooks and lecture notes) is an interesting
record of the state of the art in mathematical teaching at Manchester 1924 - 27 (B.23 -
B.54) and Cambridge 1927 - 32 (B.55 - B.92), comprising as it does notes, carefully
taken and carefully preserved by Davenport, of lecture courses, class work and exercises.
Section C (Lectures and addresses) is a substantial section representing
Davenport's own contribution to the teaching of mathematics from the 1930s as a
Research Fellow in Cambridge through his various university appointments and invitation
lectures abroad, including the lectures at Michigan, later published in book form (C.115 -
made by C.A. Rogers, his research student, collaborator and eventual successor in 1958
as Astor Professor (C.167).
material.
Ona less technical note is the address given in 1947 at Accrington Grammar
School, Davenport's old school (C.131).
Conversely, a new generation in the filiation
Section D (Publications) includes drafts, sometimes accompanied by correspondence
C.124).
Several of these contain sets of problems and solutions, and some examination
of mathematics is represented by the notes on Davenport's lectures at London in 1946
papers.
These have been linked wherever possible to the numbered list
in the Bibliography
with collaborators (see especially D.110-D.120) or publishers, for Davenport's many
appended to the Royal Society Memoir by C.A. Rogers and others (Biographical Memoirs
D.92) and Multiplicative number theory (D.170 - D.182), book reviews (D.208),
official bibliography; this includes Davenport's books on The higher arithmetic (D.89 -
of Fellows of the Royal Society, 17, 1971);
a copy of the Bibliography is reproduced
with permission on pp. 125-130.
In addition, there is considerable material relating to work not listed in the
unpublished work (D.201 - D.203) and a posthumous publication (D.207).
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Section E (Research notes and drafts) is so titled for convenience only.
It
contains a variety of material: paginated narrative sequences perhaps intended for
lectures or papers, notes and calculations often on problems arising from work by others,
and miscellaneous shorter unidentified notes. | There is
in consequence some potential
overlap with other sections, notably Cand D.
Off interest is the collaborative work
with Helmut Hasse arising from Davenport's period in Marburg (E.1
- E.15).
There are
also Davenport's notes of lectures and talks by others (E.103 - E.126) which include
mathematicians of an older generation (K. Mahler, L.J. Mordell, C.L. Siegel), friends
and contemporaries (P. Erdés, H.A. Heilbronn), pupils and successors (B.J. Birch, J.W.S.
Cassels, C.A. Rogers, K.F. Roth).
Another interesting link in the pedagogic chain
is J.E. Littlewood's extended list of 'Research Problems' and Davenport's 'Comments'
(E,131)
Section F (Faculty of Mathematics, Cambridge) is relatively scanty but includes
a little material on research, examinations and the newly-created Department of Applied
Mathematics and Theoretical Physics.
Section G. (Correspondence) contains several substantial sequences, though the
G.278), among many others, indicate his continuing contributions.
Special mention must be made of Davenport's close connection with German
mathematicians, several of whom he met during his early visits to Marburg and elsewhere
(G.208) show their recognition and fostering of Davenport's talent, and that with
general practice of longhand correspondence often produces tantalising gaps.
Once
again, Davenport's links as student, teacher and collaborator with several generations
and whom he helped and encouraged when they were forced to emigrate.
Corres-
can be traced.
Early correspondence with E.A. Milne (G.206) and L.J. Mordell
E. Bombieri (G.28 - G.39), D.J. Lewis (G.175 - G.184) and C.A. Rogers (G.268 -
pondence with H.A. Heilbronn (G.123 - G.142), H. Kober (G.165), K. Mahler (G.194 -
elsewhere in the collection.
language is evident both in the corres pondence and in the drafts for lectures and papers
H. Hasse (G.116 - G.122) who remained in Germany.
Davenport's command of the
G.201), R. Rado (G.257) may be cited as examples.
There is also correspondence with
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ACKNOWLEDGEMENTS
We are especially grateful to Mrs. Anne Davenport for her initial work in
assembling the material and making it available, for invaluable provision of notes
and information, for her instant recall of names, facts or handwriting, and for her
unfailing help and encouragement throughout the compilation of this catalogue.
We gratefully acknowledge the help of Professor B. J. Birch in providing
information and identifying documents, and in making available his own collaborative
correspondence with Davenport as well as material on posthumous publications and
the Royal Society Memoir.
Oxford 1986
Peter Harper
Jeannine Alton
Margaret Erskine
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SECTION A
BIOGRAPHICAL AND PERSONAL
A.1 - A.137
A.1
-A.7
Obituaries and tributes
A.8
-A.14
Autobiographical writings
A.15 -A.91
Career, honours and awards
A.92 -A.129
Diaries
A.130-A.132
Miscellaneous items
A.133-A.137
Photographs
OBITUARIES AND TRIBUTES
Obituary from The Times, 10 June 1969; additional tribute by
L.J. Mordell, ibid., 19 June 1969.
Entry for Who's Who in Europe, sent by publishers for correction;
received after Davenport's death.
Tributes by L. J. Mordell and by C.A. Rogers (reprints from Acta
Arithmetica, 1971).
Reprint of Memoir.
Includes 2pp. plan allocating work between collaborators, corres-
pondence, drafts of various sections of Memoir.
Correspondence and material relating to Memoir of Davenport by
C.A. Rogers, D.A. Burgess, H. Halberstam and B.J. Birch
(Biographical Memoirs of Fellows of the Royal Society, Vgr77 lh
‘Cambridge between Two Wars’.
H. Halberstam's entry for Davenport for Dictionary of National Biography,
1961-70.
Reprint of revised version of above for Bulletin of the London Mathe-
matical Society, 4 (1972). :
Ip. photocopy giving reference to Davenport from T.E.B. Howarth's
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Biographical and personal
Typescript biographical notes made by Mrs. Davenport after her
husband's death, in the form of chronological lists,
as follows:
Visits made by German, and other, mathematicians from 1933 onwards,
initially at Davenport's rooms in Trinity College, Cambridge.
Visits to conferences, foreign universities and institutions, 1931-68.
Students supervised by Davenport at Cambridge, 1959-69.
AUTOBIOGRAPHICAL WRITINGS
Davenport, although very ill, made notes on his early life and his
work, with the assistance of his wife and D.J. Lewis, in 1969;
he
died in June of that year (see Memoir, p.165).
The reminiscences
can be found at A.8-A.10.
Some, probably earlier, ms. notes onhis career survive, as well as
notes om his impressions of America and some humorous writings.
'Reminiscences'
‘Reminiscences of Harold Davenport, dictated to A.D.'
Ms. draft of account of his own career in mathematics.
reference is 1958.
The latest
Typescript of Davenport's comments on his own published papers,
1-120 (see Bibliography), dictated to his wife and D.J. Lewis, 1969.
Typescript made by Mrs. Davenport of her husband's account of his
early life to 1929, with reference to his childhood, family back-
ground and his undergraduate days at Manchester .
prompted by visit to a conference there, September 1966.
App. miscellaneous ms. autobiographical notes, n.d.
Typescript notes re impressions of American institutions, from visit
of 1947-48.
‘Come to Russia’, 1966.
2pp. ms., humorously describing the fate of the tourist in Moscow.
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Biographical and personal
A.14
Ms. notes, made on file-cards, redefining certain concepts, such as
‘inflation’ and 'education', n.d.
Davenport's letter to Editor of The Times re ‘inflation’, 1968.
Cutting only.
Ip. ms. list of non-mathematical quotations, possibly for use in
speeches.
A.15-A.91
CAREER, HONOURS AND AWARDS
SCHOOL CAREER, 1917-24
A.15-A.18
Accrington Grammar School (until 1921, The Municipal Secondary
School), termly reports 1917-24.
A.15
December 1917-July 1919
A.17
July 1921-December 1922
A.20-A.23
A.16
December 1919-April 1921
A.18
March 1923-July 1924
"List of Successful Candidates, School Certificate
A.20
Examination, July 1922'.
Educational certificates, 1922-24, issued by Joint Matriculation
Board.
Two letters from Lancashire Education Committee, 1920, re
"Open Junior Exhibitions', one of which was awarded to
Davenport.
(See A.27 for questions papers.)
Higher School Certificate, July 1924.
School Certificate, July 1922.
Matriculation Certificate, July 1922.
A.21
A.22
A.23
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Biographical and personal
Letters from headmaster, 1924, 1927.
Letter from old school friend, signed Bottomley, 1934.
Invitation to the 'Prize Distribution’, 1947, at which Davenport
gave the address (for text see C.131).
Also included here is local newspaper with report.
THE VICTORIA UNIVERSITY OF MANCHESTER, 1924-27
Letters to Davenport re various scholarships, from the University and
Lancashire Education Committee, 1924.
A.27-A.29
Examination papers taken by Davenport,
1924-26.
A.27
Entrance Scholarships, May 1924.
Honours School of Mathematics, Part I, May 1925.
‘Christmas Terminal Examinations', December 1925.
A.30, A.3]
Higher School Certificate Examination, July 1924.
also A.23.
See
A.29
Honours School of Mathematics, Part Il, May 1926.
Two examination scripts written by Davenport for the Honours School
of Mathematics, Part Ill, May 1927, set, marked and preserved by
L.J. Mordell, who sent them to Mrs. Davenport in 1971.
See also A.134, A.135.
Covering note (A.30), gives names of other examiners, Bailey, Milne
and Chapman, which papers they set and Davenport's marks for each.
Degree Day programme, July 1927.
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Biographical and personal
TRINITY COLLEGE, CAMBRIDGE, 1927-36
Davenport was an Affiliated Student, 1927-29, taking a second 'first'
degree, and in 1932 was awarded a research fellowship.
Correspondence from Trinity College, 1926-29, re scholarship, status
as an Affiliated Student, award of exhibition and the Walker Prize
(1929).
Letter from the Victoria University of Manchester, July 1927, re
scholarship and other arrangements.
Trinity College classlists, 1928;
ms. note of 'May Marks'; battels bill for Michaelmas Term, 1929.
inter-college examination paper, n.d.;
'The continuation of analytic functions', 1928.
Ms. of essay submitted by Davenport for Yeats and Rouse Ball Prizes.
Dissertation submitted for a fellowship, 1932.
Typescript only, in three parts.
letters
Note from J.J.
asking Davenport 'to represent the College’.
Thomson, 1936, re weekend visit to 'Christ-Church’,
Also included are two notes re mathematical problems from J.E.
M.A. certificate, Cambridge, 1933.
Telegram announcing election to fellowship at Trinity, 1932;
and telegrams of congratulation.
Three letters of congratulation, 1929 and n.d., on Cambridge successes,
including two from former mathematics mistress, A. Heap (see Memoir,
p.159).
Littlewood, n.d. (see Memoir, p.160).
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Biographical and personal
Application for academic post (possibly assistant lecturership at
Manchester), 1936.
Ms. and typescripts of testimonials by G.H. Hardy, and typescript
testimonial by A.S. Besicovitch.
Typescript curriculum vitae and bibliography.
UNIVERSITY OF MANCHESTER, 1937-41
‘On the expiry of his Trinity Fellowship in 1937, Davenport was
appointed by Mordell to an Assistant Lecturership in Manchester’
(Memoir, p.161).
‘Conditions of Appointment' for post of assistant lecturer, 1937.
A.48
ma
A.46-A.49
Fellowship of Royal Society, 1940.
A.46
Receipts from Royal Society for fees.
Sc.D.. certificate, Cambridge, 1938.
Announcement of appointment, n.d. (press-cutting only).
Letter of application for Chair of Mathematics, University of Durham,
1939, with bibliography.
N
A.47-A.49
Letters of congratulation.
A.49
O-T, and first names only
A.47
A-G
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Biographical and personal
Recommendation by L.J. Mordell to promote Davenport to Lecturer,
n.d., probably 1941.
Letter announcing re-appointment as Assistant Lecturer, 1941.
Letter of congratulation on award of Adams Prize of University of
Cambridge, 1941.
See also D.5-D.15.
UNIVERSITY COLLEGE OF NORTH WALES, BANGOR, 1941-45
Application for Chair of Mathematics, U.C.N.W., 1941
Ms. and typescripts of testimonials from G.H. Hardy and L J. Mordell,
brief curriculum vitae and covering letter.
Folder includes 1941 bibliography found with this application.
Correspondence from Principal, U.C.N.W., re appointment, July,
September 1941.
Four letters of congratulation.
‘Memorandum’ re terms of engagement.
Letter of thanks from D.R. Pye, Director of Scientific Research,
Ministry of Aircraft Production, 1942, to Davenport and staff at
Bangor, re 'the bomb ballistic computations’.
J. Mordell as Fielden Professor of Pure Mathematics .
Three letters from Vice-Chancellor, University of Manchester,
November 1944-February 1945, re possibility of Davenport's
succeeding L
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A. 56
Biographical and personal
Correspondence, chiefly from D.R. Pye and G.B. Jeffery, University
College London, December 1944-April 1945, re appointment to
Astor Chair of Mathematics.
The letters run from the initial approach to Davenport to his formal
appointment.
post (A.55) in favour of London.
Davenport declined the possibility of the Manchester
Letters of congratulation on appointment to Astor Chair.
Invitation to Davenports to attend farewell dinner given by colleagues
at U.C.N.W., June 1945.
2pp. ms. speech, probably given at the dinner, by Davenport.
UNIVERSITY COLLEGE, LONDON, 1945-58
Typescript outline of mathematics teaching at University College
for 1945-46.
Invitation to Davenport's inaugural lecture 'The Geometry of
Numbers', 6 June 1946.
See C.164.
Letter from Stanford University, 1947, inviting Davenport to go as
Visiting Professor for academic year 1947-48
See A.56, A.57 for correspondence re appointment and congratulatory
letters.
matical Society, 1957.
Letter accompanying cheque for Berwick Prize of the London Mathematical
Society, 1954.
Letter inviting Davenport to accept Presidency of the London Mathe-
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Biographical and personal
ROUSE BALL CHAR OF MATHEMATICS, UNIVERSITY OF
CAMBRIDGE, 1958-69
See Section F for other material on Cambridge and the Faculty of
Mathematics.
A.61
Brief correspondence re appointment, December 1957-February 1958.
A.62-A. 66
Letters of congratulation:
A.62
A-C
A.65
P-R
A.63
D-J
A. 66
S
- W and unidentified
A. 64
L-O
Spp. ms. of speech given by Davenport at 'Presentation' to him,
18 June 1958, at University College, London.
A. 69
invitation cards.
A.70-A.72
Letters of congratulation:
Menu and seating plan of 1967 Anniversary Dinner.
THE ROYAL SOCIETY'S SYLVESTER MEDAL, 1967
Letters from Royal Society informing Davenport of the award, inviting
him to attend Anniversary Meeting to receive medal and to Anniversary
Dinner, November 1967;
Mayor of London, 1968.
Letter inviting Davenports to Midsummer Banquet of Lord
A.72
First names and unidentified
A.70
A-H
A.71
M-T
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A.74, A.75
Honorary D.Se., Nottingham, 1968.
Biographical and personal
A.74
lunch menu.
Correspondence re arrangements, etc., programme,
A.75
Press-cuttings.
DAVENPORT'S DEATH
After a period of illness following the removal of a lung, Davenport
died on 9 June 1969.
(Memoir, p.165.)
A.76-A.89
Letters of condolence:
A.76
A.77
A
B
A.83
A.84
A.78
A.86
A.87
A.88
A.85
A.79
A.80
A.81
H
A.82
eet
A.89
Unidentified
Material re Memorial Service, Trinity College, and London Mathe-
matical Society Memorial Meeting.
Some loose items.
Scrapbook, containing almost exclusively newspaper cuttings re
Davenport's career, 1924-1969.
The cuttings include some non-
mathematical items, such as reports on Accrington Grammar School
prize-giving ceremonies.
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Biographical and personal
DIARIES, 1924-69
These are all small pocket diaries, mainly university diaries covering
the academic year, used chiefly to record appointments and addresses.
A.92
A.93
A.94
Fe
98
i
:
1935-36
1939
1945-46
1946-47
1949
1950
1960-61
1961-62
1965-66
1951
1952
1953
;
,
;
;
;
;
:
‘
:
‘
1957-58
1958-59
1956"57
1959-60
1953-54
1955-56
1954-55
1968-69
1962-63
1964-65
1963-64
1966-67
1967-68
1968-69
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Biographical and personal
MISCELLANEOUS ITEMS
2pp. typescript note of German and Italian mathematicians, listed
according to whether they left or remained in their posts before
and during World War II, and their political bias.
n.d.
The first category, 'German refugee mathematicians', including
G. Szegd and H. Heilbronn, gives names, subject speciality, former
posts and present whereabouts.
Davenport states that all were anti-
Nazis.
The second category, ‘Mathematicians who stayed in Germany’,
gives name, pre-war post and extent to which individual was
involved in Nazi regime.
The third category is 'Collaborators'.
The fourth category, 'Italian mathematicians', from information given
by B, Segre (Manchester), gives a
list of mathematicians ‘dismissed
by the Fascists in 1938' and another of anti-fascist mathematicians.
See Memoir, p.161.
Letter from Secretary of English Speaking Union, 1958, thanking
Davenport for suggesting possible members of a selection committee.
Postcards sent by friends and colleagues living or visiting abroad,
1948-69.
Letter from Union Mathématique Internationale, 1964, asking
Davenport to serve on committee to choose candidates for Fields
medals in 1966.
Not indexed.
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Biographical and personal
A.133-A. 137
PHOTOGRAPHS
A.133
Photographs of Davenport, 1911-1968.
One print (c.1920) shows Davenport with his sister and 'Marion'.
A.134,A.135
Graduation, Victoria University of Manchester, 1927.
A. 134
Two portrait photographs of Davenport.
A.135
graduates.
Mounted group photograph, probably of mathematics
Miscellaneous group photographs, all including Davenport.
Includes one print of Davenport, P.
one of 'Professor Mordell's Seminar’ (1938) and one of Davenport,
Besicovitch and Littlewood (1967).
Erddés and L.J. Mordell (n.d.),
International Congress of Mathematicians, Harvard conference,
1950.
Group photograph.
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SECTION B
SCHOOL AND UNIVERSITY NOTEBOOKS AND LECTURE
NOTES . -B.t
: B92
Bet
70.22
ACCRINGTON GRAMMAR SCHOOL, 1921-24
B.23-B.54
THE VICTORIA UNIVERSITY OF MANCHESTER, 1924-27
Notebooks
Lecture and class notes
B. 55-892
TRINITY COLLEGE, CAMBRIDGE, 1927-32
Notebooks
Lecture notes
Bi1-B..22
ACCRINGTON GRAMMAR SCHOOL, 1921-24
With one exception (B.22), these notebooks contain Davenport's notes and diagrams
on physics, chemistry and mathematics, presumably work for the School Certificate (B.1,
B.2) and the Higher School Certificate (B.3-B.17), although several are undated.
‘Physics Notebook', dated 14 September.
"Practical Chemistry', dated September 1922.
For Davenport's school reports 1919-1924 see A.15-A.18.
Only B.22 shows Davenport's non-mathematical interests, containing extracts from
various writers and drafts of two speeches, possibly delivered toa school debating society.
"Physics [2J', dated March 1923.
"Inorganic Chemistry C1J', dated September 1922.
‘Inorganic Chemistry £21', dated February 1923.
‘Practical Physics', dated September 1922.
B.1
Buz
B.3
B.4
B.5
B.6
B.7
B.8
'Chemistry', dated 14 September 1920.
‘Physics C1 J', dated September 1922.
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School and university notebooks and lecture notes
'Physics', n.d., probably 1923.
"Practical Organic Chemistry’, dated April 1923.
"Physical Chemistry’, n.d., perhaps 1922-23.
"Light', dated September 1923.
‘Organic Chemistry [1]', dated September 1923.
‘Organic Chemistry [2]', n.d., perhaps 1923-24.
'Physics';
first entry dated 14 September 1923.
Untitled notebook containing physics theorems, n.d., perhaps
1923-24.
:
‘Mathematical Problems', n.d.
Some loose enclosures, one dated March 1924.
‘Extracts from various writers', n.d.
"Hydrostatics &c.', n.d.
"Chemistry Notes', n.d.
'Mathematics', n.d.
Untitled notebook, n.d., containing mathematical problems.
Davenport's Accrington address (inside front cover) replaced by
address in Manchester.
contributes the more to civilisation’.
Two loose enclosures: ms. drafts of speeches 'Should Capital Punish-
ment be Abolished?! and re question 'whether Science or Art
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School and university notebooks and lecture notes
B.23-B.54
THE VICTORIA UNIVERSITY OF MANCHESTER, 1924-27
B.23-B .30
NOTEBOOKS
These hard-back notebooks have been arranged by the covering titles with which
Davenport labelled them;
only two, B.24 and B.29, can be dated (1924-25 and 1925-26
respectively). | None are indexed and only two are paginated (B.29, B.30).
B.23
B.24
"Mathematics IVa'.
"Mathematics IVb’.
Note on inside front cover: 'Ist year BSc Hons. Maths Notes’.
‘Maths. Va'.
Acie VEE.
‘Maths. Vb (continued)'.
"Applied Mathematics B'.
‘Applied Maths. D'.
Note on inside front cover: 'Second year BSc. Honours Maths notes’.
‘Applied Maths D (cont'd)'.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
B.31-B.54
LECTURE AND CLASS NOTES
These are loose ms. pages of notes on the literature, notes on lecture courses and class
work and exercises by Davenport.
Many bear an indication of the course number, or
of the person giving the lectures and/or supervising the work.
The material was kept
in bulky wallet folders labelled by Davenport; the contents have been removed and
where appropriate preserved in more than one folder for ease of reference.
The original
folders are at B.54.
See B.85-B.87 for notes originally made at Manchester and subsequently used at Cambridge.
B31; 6.82
‘Misc. notes & exs. (Lamb &c) 1925-6’.
Contents of a folder so inscribed.
B.S
dated 1925, 1926.
Ms. notes, mainly on Strings, some headed 'Routh', some
B.32
Extensive sequence of notes, all headed 'Lamb'.
B.33-B 35
'Exs. 1926-7 and misc.notes 1925-6'.
Contents of a folder so inscribed.
Ms. notes, all headed 'Maths VI b',
all dated October
Ms. notes, variously titled, including 'Study of Certain
Duporeq Chap. VI' and 'Quadrics'.
B.33
1926-May 1927.
B.34
Transformations.
Ms. notes, variously titled, including 'Higher Geometry', and
B.35
two paginated sequences: 'Real Numbers! (1-5) and 'Infinite Sequences
of Real Numbers’ (1-4).
May 1927.
Ms. notes, all headed 'Maths Vla', all dated October 1926-
Ms. notes, variously titled, chiefly on integrals and series,
B.36
some dated 1927,
B.37
"Summarised notes real var. & exs. Vla 1926-7’.
Contents of a folder so inscribed.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
'Tensor & potential theory 1926-7'.
Contents of a folder so inscribed.
B.38
Ms. notes on tensors and vectors.
Ms. notes, some on ‘sources and doublets', some on motion.
B.39
Includes sequence labelled 'Applied Maths E', dated October 1926-
March 1927.
B.40-B.43
"Dynamics 1926-7'.
Contents of a folder so inscribed.
B.40
Ms. notes, chiefly on motion of a rigid body.
B.41, B.42
Extensive sequence of notes on various dynamics topics.
B.43
October 1926-May 1927.
Sequence of notes labelled 'Applied Maths E', dated
Several pages have tutors’ comments (fwo hands); work of 31 January
1927 includes separate page of comments.
Contents of a folder so inscribed.
B.44
Ms. notes, on strain and wave motion.
Ms. notes, on potential theory and ellipsoids, with
Contents of a folder so inscribed.
B.46, B.47
"Differential geometry 1926-7'.
B.44, B.45
"Hydrodynamics & elasticity 1926-7'.
B.45
sequence of notes labelled 'Applied Maths E', dated October 1926-
April 1927; several pages marked by tutor, with occasional comment.
Sequence of notes entitled 'Complex Integration’.
Extensive sequence of notes on various aspects of topic, variously
sub-titled, including ‘Conditions for a helix' and 'Developable Surfaces’.
Extensive sequence of notes, variously sub-titled, including
B.48, B.49
‘Complex variable notes 1926-7'.
B.48
‘Complex numbers’.
B.49
Contents of a folder so inscribed.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
B50, 78,5)
‘Real variable notes 1926-7'.
Contents of a folder so inscribed.
Extensive sequence of notes, headed 'Mathematics VI a',
B.50
variously sub-titled, including 'Infinite Series' and 'Uniform Con-
vergence of Infinite Products’.
B.5]
"Fourier Series’ and ‘Double Integrals’.
Three sequences of notes:
‘Integrals with parameters’,
B .52);8.53
"Differential eqns. 1927'.
Contents of a folder so inscribed.
B.52
"Elliptic Functions'.
Two sequences of notes: 'Differential Equations’ and
Extensive sequence of notes entitled: 'Differential Equations’,
B.53
variously sub-titled, including 'Properties of Legendre's Polynomials’
and 'Solution of eqns. by definite integrals’.
;
Davenport's original folders from B.31-B.53.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
8.907 72
TRINITY COLLEGE, CAMBRIDGE, 1927-32
B.55-B.64
NOTEBOOKS
These hard-back notebooks, excepting B.63, B.64, all contain lecture notes.
Davenport
usually labelled the fly-leaves with the name of the lecturer, the subject of the course,
and the date.
These labels are used here, and his descriptions are preserved in the entries.
B.63 and B.64 are exceptions as they are without identification, but it
is probable that
they come from this period in Davenport's career.
B.55
'Mr. Pollard
Systems of orthogonal functions.
Aggregates and functions.
1927-8'.
Theory of Integration.
S. Pollard was Davenport's Director of Studies for pure mathematics.
See Memoir, pp. 159-60.
'Mr. White
1927-8'.
'Mr. Besicovitch
sets.
Almost periodic functions’.
1927-8.
Measurability and the theory of measurable
'Mr. Steen.
See Memoir, pp.159~-60.
Prof. Hobson.
i
'General Dynamics
Mr. Pars.
Jesus. Michaelmas Term 1928'.
‘Combination of observations. Prof. Eddington Michaelmas Term 1928'.
'Fourier's series and other representations of functions
Michaelmas Term 1928'.
A.S. Besicovitch was Davenport's Director of Studies for pure
mathematics.
undergraduate in Cambridge.
Two untitled notebooks, n.d., probably from Davenport's period as
Classical Theory of Numbers.
Lent Term 1928'.
‘Binary forms.
Dr. A. Young
1928~-29'.
18pp. misc. ms. notes enclosed.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
B.65-B.92
LECTURE'NOTES, ETC,
These are loose ms. pages of notes, chiefly of lectures attended by Davenport.
Usually
they bear the name of the lecturer and the title of the course, and some are dated.
The
material was kept in wallet folders labelled by Davenport; the contents have been removed
and, where appropriate, preserved in more than one folder for ease of reference.
The
original folders are at B.89.
B.80-B.84 are not lecture notes but were probably compiled from textbooks, while B.85-
B.87 were probably originally made at Manchester and brought by Davenport to Cambridge
for reference.
B.65-B.72, B.78-B.84 are dated;
the other notes are not, although they are probably of
the 1927-29 Cambridge period.
B.90-B.92 are lecture, and other, notes from Davenport's post-graduate period, 1929-32.
B.65, B.66
‘Mr. Pars.
Dynamics’.
Contents of a folder so inscribed.
Mr.
Contents of a folder so inscribed.
B.67
1928'.
B.67-B.70
"Mr. Richmond.
Curves & surfaces’.
Extensive sequence of ms. notes, variously sub-titled.
‘Algebraic Geometry. Mr. Richmond. Michaelmas Term
Extensive sequence of ms. notes headed 'General Dynamics.
Pars. Michaelmas Term 1928'.
March 1929.
B.70
Set of ms. notes (not in Davenport's hand) mostly headed
"Kummer's Surface', some also headed 'Richmond', and dates 7-12
Extensive sequence of ms. notes, variously sub-titled.
B.69
'Kummer's quartic surface’.
12pp. ms. notes.
B.68
Lent Term 1929'.
‘Curves and surfaces of orders 3 and 4.
Mr. Richmond.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
"Mr. Hall.
Groups’.
Contents of a folder so inscribed.
89pp. ms. notes and Ip. 'Summary' headed 'Theory of groups.
Mr. P. Hall.
King's, Lent Term 1929'.
B.7]
B.72
pp. 1-45.
pp.46-89, with summary.
B.73, B.74
‘Pollard.
Volume and surface integrals’.
Contents of a folder so inscribed.
Extensive sequence of ms. lecture notes, variously sub-titled.
B.79-5.77
'A.S. Ramsey.
Electricity’.
Contents of a folder so inscribed.
B.75
Miscellaneous ms. notes, some titled.
B.76, B.77 —_ Extensive sequence of ms. notes headed 'Solenoids'.
B.79
2 February 1928.
B.80-B .84
‘Lattice points
(Steen)'.
B.78, B.79
Contents of a folder so inscribed.
Extensive ms. notes headed 'Kinds of definitions! and
‘Ramsey, F.P.
Foundations of mathematics’ .
13pp. miscellaneous notes and calculations, 1 page dated
Contents of a folder so inscribed.
'Cam. undergrad. 27-29'.
B.78
‘Other views on the Foundations of Mathematics’.
Sequence of notes, headed 'Chapter III'.
Ms. notes and calculations, paginated 22-39.
Ms. notes and calculations, paginated 45-77.
Extensive sequence of notes, headed 'Chapter I' and
B.80
‘Chapter II'.
B.81
B.82
B.83
Pencilled note on folder reads:
Spp. ms. notes and calculations.
B.84
8pp. ms. notes and calculations.
H. Davenport
CSAC 112/3/86
School and university notebooks and lecture notes
B.85-B.87
"Series SS
a
Contents of a folder so inscribed.
originally made in Manchester as part of Davenport's degree course
(see B.25) and later used at Cambridge.
These are probably notes
B.85
‘Double Integral over an area’.
Ilpp. ms. notes and calculations, found with cover of Manchester
University examination script.
B.86
'Va Linear differential equations’.
A3pp. sequence of ms. notes and calculations, variously sub-titled.
B.87
"Infinite series’
Extensive sequence of ms. notes and calculations, variously sub-titled.
"A.P. Functions’.
Contents of a binder so inscribed.
‘Almost periodic functions’.
Sequence of ms. notes and calculations, variously sub-titled.
'A.P. functions of a complex variable’.
B.90-B.92
B.90, B.91
B.89
Davenport's original folders from B.65-B.88.
Sequence of ms. notes and calculations, variously sub-titled.
Lecture notes made by Davenport at Cambridge after taking his
B.A. degree.
Two series of lecture notes, found together with note 'Notes of
lectures attended at Cambridge’.
and 'Lebesgue Integral’.
Hard -back binder so inscribed, containing typescript lecture notes
from a course given by G.H. Hardy, Lent Term 1932.
Includes ms. notes and calculations, some titled "Uniqueness Theory’
B.90
'Summable series’.
B.91
"Inequalities'.
'Hardy Fourier series'
1932.
H. Davenport
CSAC 112/3/86
SECTION C
LECTURES AND ADDRESSES
C.1 -C.193
C.lorGa
CAMBRIDGE, 1930s
C.5
-.12
«MANCHESTER, 1937-41
C.13 -C.16
UNIVERSITY COLLEGE OF NORTH WALES.
BANGOR, 1941-45
C.17:-C.51°.
UNIVERSITY COLLEGE, LONDON,. 1945-58
C.52 -C.97.
CAMBRIDGE, 1958-69
C.98 -C.129
LECTURES ABROAD
Gi190-C..158 . SOGIENMES, CONFERENCES, era:
C.159-C.193 MISCELLANEOUS AND UNDATED LECTURES
Cr
CAMBRIDGE, 1930s
Contents of a folder so inscribed, n.d.
Extensive paginated ms. draft of a series of lectures on
Extensive paginated ms. draft of a series of lectures, probably
at Trinity College.
C.1 Ce
'Algeb. Functions'
Ci
algebraic functions.
Cie
a continuation of C.1.
Not dated, but probably 1933-37 during Davenport's period as research fellow
labelled 'Algebra'.
Folder includes 3pp. paginated ms. notes and calculations, and label
from original folder.
Extensive ms. draft of a series of lectures, from a folder originally
‘Functions of a complex variable', n.d.
Extensive ms. draft of a series of lectures.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C5642
MANCHESTER, 1937-41
The only lecture and teaching material surviving from this period was found in an
envelope labelled 'Notes Maths VIII
1940-41'.
i45
Duplicated examination paper 'Pure mathematics VIII', December 1940;
ms. draft, including solutions to problems set.
9pp. ms. draft headed 'VIII
the above.
Linear Differential equations' related to
Duplicated examination paper 'Pure Mathematics VIII', March 1941;
ms.
draft, including solutions to problems set.
Ip. ms. 'Schemes of Marking’ and Ip. ms. 'VII] Homework’.
'D. equations of first order but not first degree’, n.d.
6pp. draft of a lecture.
"Notes on exs.'
"Solutions in series'
"Infinite series'.
Ms. draft of course of lectures.
"Functions of two variables’.
Ms. draft of a lecture.
Ms. draft, probably for a lecture, giving solutions to various problems
and examples.
II pp. miscellaneous ms. drafts, variously titled.
Spp. ms .draft, probably of a lecture.
"Fourier series’.
Ms. draft of a lecture.
H. Davenport
CSAC 112/3/86
Lectures and addresses
Cols-G.16
UNIVERSITY COLLEGE OF NORTH WALES, BANGOR, 1941-45
These notes cannot be dated exactly, but all are from the 1941-45 period.
All
are lecture notes, with no other teaching material .
G13
"Fourier series’.
Ms. draft of a series of lectures, originally from a folder labelled
"Bangor'.
"Differential equations’.
Ms. draft of a series of lectures.
"Differential geometry’.
Ms. draft of a series of lectures.
"Infinite series and integrals’.
Ms. draft of a series of lectures.
This material was probably all intended for teaching undergraduates, and many
There are not only finished drafts, both manuscript and typescript, but also notes and
lecture drafts are accompanied by reading lists and in some cases by lists of students' names.
Ip. ms. list of topics, probably for lectures.
Ip. ms. list of topics, probably for a course of lectures, dated 1945-46.
CUR
"Ideas for the future’, n.d.
Clyro
UNIVERSITY COLLEGE, LONDON, 1945-58
calculations.
Only C.17-C.34 can be dated exactly.
H. Davenport
CSAC 112/3/86
Lectures
and addresses
C.. 1SeC ge
"The natural numbers', 1946.
Ms. draft of a course of lectures, some pages dated January 1946.
18
9 topics, variously titled.
C.1y
4 topics, variously titled.
20
6 topics, variously titled, with Ip. ms. notes for 'Summer
term' lecture course.
"First Year Special Analysis’.
6pp. ms. draft of an introductory lecture to first year undergraduates,
found with C.18-C.20.
'The geometry of numbers', 21948
Cage
Ms. draft for a course of lectures.
€723
Rough notes and calculations.
‘Quadratic forms (supplementary to "Higher Arithmetic")'.
2pp. ms. notes and calculations.
‘Theory of Numbers’.
Ip. ms. list of students' names and addresses.
'3rd yr Theory of Numbers.
Tyo2"53:
Supplementary to "Higher Arithmetic",
C520, ree
‘Classical achievements in pure mathematics', 21952.
2pp. ms. outline of a lecture course, giving dates of lectures, with
2pp. ms. notes and calculations.
Bangor Mathematical Society, 4 December 1952,
Folder also includes 'The fundamental theorem of algebra’, given to the
Extensive typescript and ms. draft of course of 5 lectures.
Ip. ms. list of the lectures;
introductory remarks and lectures
C525
T=3.
G26
Lectures 4 and 5.
H. Davenport
CSAC 112/3/86
Lectures and addresses
Gia; "Cy
"Various topics in the theory of numbers', 1953-54.
94pp. paginated typescript draft of a course of lectures.
Cee
pp. 1-41
C20
pp.42-79
27
pp. 80-94, and 5pp. diagrams.
"Remarks to S
1 class', 1955.
Spp. ms. notes of introductory talk to undergraduate class.
© .3) “C34
"Introduction to the analytic theory of numbers', 1956-57.
C.31, C.32
Ms. draft, paginated [1 J-66, of a course of lectures.
2 folders.
Care
Ms. draft, paginated 83-133.
C.34
lecture course;
5pp. ms. notes.
2pp. lists of signatures, probably of those attending the
C.36, C.37
2 folders.
C.40
Contents of a folder inscribed 'G of N (UCL)'.
'Theory of numbers (Third year course)', n.d.
C.36-C.40
'The geometry of numbers', n.d.
App. ms. draft, probably of first lecture of a course.
Duplicated typescript with a few ms. corrections.
Ip. ms. note of 'Further topics’.
2pp. list of topics headed 'Geometry of numbers’.
C.38, C.39
Another copy.
H. Davenport
CSAC 112/3/86
C.41-C.5l
Lectures and addresses
Miscellaneous notes and drafts for lectures, originally kept in an
unlabelled binder.
order but has been divided into folders for ease of reference.
The numbers in the headings of e.g. C.46, C.47, C.48 probably refer
to lectures from extended courses.
The material has been preserved in
its original
C.4l
paginated 9-12, concerning work by Dirichlet.
Miscellaneous ms. notes and calculations, including sequence
C42
"Indefinite forms’.
Ms. draft for lecture.
C.43
'Elem.
Theory of Numbers’.
32pp. ms. draft for lecture series;
with Ip. ms. reading list.
Folder includes 3pp. miscellaneous ms. notes and calculations.
C.44
"Continued fractions’.
6pp. ms. draft of a lecture, with Ip. ms. reading list.
C.45
= 'Number theory.
Outline course’.
2pp. ms. list of lecture titles.
‘Examples on number theory’.
'Theory of numbers.
Literature’.
Ip. ms. reading list.
C.46
"5.
Gauss's Sum’.
"Higher power residues' .
6pp. ms. problems and solutions.
App. ms. draft, probably unfinished, of a lecture.
8pp. ms. draft of a lecture, probably one of a series.
2pp. ms. draft.
Ip. ms. notes outlining a course of lectures.
c47
Quadratic residues’.
"Il
'5 (k/P) as a function of P'.
3pp. ms. outlines of lectures.
Divisibility and the primes',
'II] Congruences', 'IV
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.48
'2.
Gauss's lemma'.
2pp. ms. draft.
The law of quadratic reciprocity’.
. ms. draft.
An algorithm for eae
. ms. draft.
C.49
Miscellaneous ms. notes, drafts and calculations, all untitled.
C.50
for lecture.
Miscellaneous ms. notes, including pp.33-39 only of draft
C.oF
Inside cover of original binder, with ms. calculations.
H. Davenport
CSAC 112/3/86
Lectures and addresses
02-97.
CAMBRIDGE, 1958-69
All the material here was used for teaching, probably of both undergraduates and
postgraduates.
Several lectures include lists of problems to be attempted by the students
(see especially C.62, C.97);
it was Davenport's custom to hand these out at the begin-
ning of a lecture course.
Some lecture material also includes outlines of the topics to be covered, ms. notes
and calculations, and drafts of earlier work, used in the production of the lecture.
Cube-%. oe
"Analysis Il.
Cambridge lectures'.
Contents of a folder so inscribed.
C.52, C.53
Analysis Il 1959-60'.
69pp. ms. draft of a lecture course, with Ip. list of dates of lectures
and topics to be covered.
colleague for loan of notes.
Includes letter of thanks, 1960, from
2 folders.
(C.52).
G54
"The Gainma Function'.
Miscellaneous shorter notes and drafts.
C. 58
Shorter notes and calculations.
=78pp. ms. draft of course of lectures.
3 folders.
oy
the course, on Cassels's theorem.
Folder includes reprint of Bibliog. 111.
'Diophantine Approximation', 1961-62.
C.55 includes
list of students’ names and
10pp. draft, possibly of an optional lecture for the end of
C.55-C.57
App. outlines of topics to be covered, Ip.
3pp. preliminary draft and notes.
Includes original folder, inscribed with calculations.
"Functions of a complex variable (Easter term, 1962)'.
44pp. ms. draft for course of lectures.
C.60, C.61
2 folders.
C4 5OPC, SF
C.60-C.62
© 62
"Problems';
'Solutions'.
H. Davenport
CSAC 112/3/86
Lectures and addresses
"Theory of numbers (Introductory Part III)', 21963.
C.63-C.65
C.65 includes Ip. ms. reading list.
83pp. ms. draft for lecture series,
3 folders.
Ip. dated 1963.
C.66
Ilpp. ms. draft; miscellaneous ms. notes and calculations.
'Two problems of Mordell', 1964.
10pp. ms. draft of a seminar paper, given 25 February 1964.
60s 2
'The geometry of numbers (Lent Term, 1964)'.
C.68-C.70
103pp. ms. draft for lecture course.
3 folders.
71
Miscellaneous shorter notes and drafts on topics to be covered.
G72
9pp. ms. notes and calculations.
Also included here are Ip. ms. notes in an unidentified hand and reprints
by K. Mahler.
C7
G46 Gory
C46
6pp. ms. draft for lecture.
C.73 includes
2 folders.
a
Miscellaneous ms. notes and calculations.
"Theory of numbers (Part Il, Optional)', 1964-65.
'Diophantine approximation (Michaelmas term, 1964-5)’.
C.73, C.74
Ip. list of pupils, October-December 1964.
7l|pp. ms. draft for lecture course.
Ip. typescript outline of lecture course, dated October 1964, with Ip.
ms. list of topics to be covered in each lecture.
Solutions'.
2pp. typescript entitled 'Theory of numbers (Part II), 1964-65 Problems'.
2pp. typescript entitled 'Theory of numbers (Part Il), 1964-5 Outline
C7
Spp. ms. of questions, problems and examples.
H. Davenport
CSAC 112/3/86
Lectures and addresses
'The basic inequality of the large sieve method', 1 November 1966.
10pp. ms. draft for seminar paper.
"Dirichlet's L-functions.
(Michaelmas term 1966-7)’.
21pp. draft for lecture, with Ip. ms. calculations.
"Additive number theory', ?1967-68.
C.80-C.82
119pp. ms. draft for lecture course.
3 folders.
C.83
sequence re paper by B. J. Birch.
Miscellaneous ms. notes and calculations, including 4pp. paginated
C.84
'Waring's problem’.
Ms. draft, probably for lecture, paginated 4-23.
@785
"Mordell's finite basis theorem’.
6pp. ms. draft for lecture, with 3pp. ms. notes and calculations.
C.87
"The Hardy~-Littlewood method’.
C.88
Includes 5pp. alternative version.
C.86
'Waring's problem’.
C.86-C.88
"Cambridge Lectures (additive)', n.d.
'The Asymptotic formula: Vinogradov'.
60pp. ms. draft for course of 3 lectures from folder labelled as above.
The first page of this lecture was used as the cover illustration of the
Sth edition of Davenport's The Higher Arithmetic (1982), although
the text does not appear elsewhere in the book.
3 folders.
95pp. ms. draft for course of lectures.
C.-C
'The distribution of the primes', n.d.
H. Davenport
CSAC 112/3/86
CC. IZ
see
"The Riemann Zeta-function', n.d.
Lectures and addresses
©.92
"last term's course on the distribution of primes' (C.89-C.91).
llpp. ms. draft for lecture, probably a continuation of
C.93, C.94
69pp. ms. draft for lecture course.
2 folders.
C.95
Miscellaneous ms. notes and calculations.
"References for equations in many variables’, n.d.
3pp. ms. list, possibly to accompany a course of lectures.
"Davenport: Theory of Numbers', n.d.
Two typescript drafts, 3pp. and 2pp., of list
of problems.
"Davenport: Geometry of Numbers', n.d.
Two typescript drafts, 3pp. and 2pp., of list of problems.
S070 lee
LECTURES ABROAD
Stanford, G&ttingen and Michigan.
Visits to these institutions were for varying periods
up toa full academic year, and could involve teaching and examining as well as lecturing.
Davenport made many visits abroad (see Mrs. Davenport's biographical notes at A.7).
The material here is from three universities with which he had particularly close connections:
University of Michigan
C.98 -C.107
Stanford University, California
C.108-C.114
Guttingen
C.115-C 4129
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.98-C.107
Stanford University, California, 1947-48, 1950.
Davenport was invited by Gabor Szeg4 (see A.60) to spend the year 1947-48 at
Stanford as a visiting professor, and he returned there in 1950 (see also Memoir, p.162).
C.98-C.102
‘Group theory (Stanford)', 1948.
Lecture and teaching material, from an envelope so inscribed.
C.98
27pp. ms. draft for course of lectures, variously sub-titled.
C99
with Ip. ms. calculations.
13pp. ms. draft for course of lectures, variously sub-titled,
C.100
"Abelian groups’.
2 ms. drafts for lecture, 8pp. and 5Spp.
C.101
'Sylow's Theorem', 9pp. ms. draft.
"Theory of groups', Spp. ms. draft.
C.102
of Course';
Ip. ms. 'Groups Literature’;
Ip. ms. 'Group Theory.
Outline
3pp. ms. ‘Examples on groups'; etc.
Contents of an envelope so inscribed.
C.105
"Analytic Theory of Numbers’.
67pp. typescript notes made by G. Hedrick.
C.105-C.107 ='Draft T.
of nos Stanford', n.d.
"Selected Topics in the Geometry of Numbers’, Summer Quarter, 1950.
Programme of meeting of American Mathematical Society, April 1948,
mentioning lecture by Davenport.
22pp. ms. draft for lecture.
Ms. draft for course of lectures, with note on first page 'Analytic number
theory ctd.'.
Ms. draft of a course of lectures, variously sub-titled.
C: 107
"The Hardy~-Littlewood method’.
C.106
"Additive number-theory'.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.108-C.114
Géttingen, 1954 and 1966.
In 1966, Davenport was Gauss Professor der Mathematik an der Akademie der
Wissenschaften zu G&ttingen (see Memoir, p.164), visiting Gdttingen from May to August
(see Mrs. Davenport's biographical notesat A.7).
He had lectured there previously in
February 1954.
Virtually all the material here is
in German.
Davenport had a good command of .
the language, and had made many German friends and colleagues, particularly among the
refugees arriving in Cambridge in the 1930s (see Memoir, p.161).
See also G.299-G. 303 for material relating to Davenport's appointment and visit
to G&ttingen in 1966.
C.108
Correspondence with C.L. Siegel, December 1953-January 1954, re
invitation to give a talk to the 'Mathematische Gesellschaft'. Davenport
chose as his subject 'Simultaneous Diophantine Approximation’.
10pp. ms. draft for lecture, dated February 1954, in German, in several
hands.
C.109-C.%13
19pp. ms. draft;
33pp. ms. draft.
C.110
Sri
32pp. ms. draft;
Ip. ms. notes.
All are in German.
"Schlecht approximierbare Zahlen'.
C.109
"Ausgewthlte Fragen der Zahlentheorie' .
'Die Verteilung der quadratischen Reste und Nichreste'.
Lectures delivered May-August 1966, originally found together in an
envelope labelled 'Lectures G&ttingen'.
in English) .
9pp. miscellaneous ms. notes and calculations (2pp.
Cots
'Gleichungen und Identitdten'.
9pp. ms. draft, paginated 38-46.
20pp. ms. draft.
C.112
"Uber y2 - x3!
H. Davenport
CSAC 112/3/86
Lectures and addresses
"Topics for Guttingen'.
Ip. ms. list of topics, probably for lectures given in 1966.
C.115-C.129 ~~ University of Michigan, 1962-68
Davenport had a
fruitful association with Michigan, where he was a frequent visitor
in the 1960s.
His principal collaborator was D.J. Lewis;
Davenport's lectures at
Michigan in 1962 on 'Analytic methods for Diophantine equations and Diophantine
inequalities' were published in 1963 (see C.115, G.175-G.184, and Memoir, p.167).
Cong
‘Analytic methods for Diophantine equations and Diophantine inequalities’,
1963.
Bound photocopy of a course of lectures given at Michigan in the
Fall Semester, 1962.
Contents of a folder so inscribed.
e116
1962.
26pp. ms. draft.
G. 47
"Goldbach's Problem’.
C.116-C.124
‘Michigan Lectures’.
‘Analytic methods for Diophantine equations and inequalities’,
Folder includes letter from publishers, 30 July 1963, outlining publication
agreement.
Original folder inscribed with calculations.
Variously titled and paginated shorter ms. drafts.
'Vinogradov's result on sums of 3 primes’.
Untitled ms. draft paginated 24-40A.
i. Haz
Omg By
C.124
lépp. ms. draft.
Cue
l6pp. ms. draft.
C.119-C.121
Questions papers, etc.
3 folders.
H. Davenport
CSAC 112/3/86
Lectures and addresses
"Modular fns'
'Notes of seminar Mich. 1965?'
Extensive ms. notes and calculations, originally found in
inscribed.
a folder so
CO laene. tee
Series of 4 lectures, given 3-7 September 1968.
C126
'Diophantine approximation: an introductory survey’.
15pp. duplicated typescript with ms. corrections.
GalZe
"Badly approximable numbers'.
l1pp. duplicated typescript with ms. corrections.
e128
"Dirichlet's theorem'.
17pp. duplicated typescript with ms. corrections.
C tae
"A problem of Diophantus'.
l5pp. photocopy of ms. draft.
C.130-C..158
SOCIETIES, CONFERENCES, ETC,
societies, including undergraduate clubs.
It does not however present a complete record
of Davenport's many visits and conferences.
given at the prize day of his old school.
consist’ of invitations and programmes.
Of particular interest is C.131, Davenport's address
C.152-C.156 contain material which cannot be accurately dated, and C.157, C.158
The material here consists mainly of drafts for lectures given at conferences and to
See also A.25.
Address given at Accrington Grammar School prize day, 26 March 1947.
8pp. ms. draft and Ip. notes;
re arrangements; programme.
19pp. duplicated typescript draft (in French); two programmes of lectures,
April-May 1946, of Institut des Hautes Etudes de Belgique.
C.130
"La géometrie des nombres', Brussels, 1946.
letter from headmaster, 20 March 1947,
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.132
"Some American Impressions', Presidential address to the Mathematical
and Physical Society, University College, London,
29 October 1948.
llpp. typescript draft.
C.193,c. 4
'G.H. Hardy’, 1948 and n.d.
C.133
App. untitled ms. draft of a lecture, delivered in 1948.
7pp. ms. draft and notes for a talk to an unnamed society re Hardy's
Collected Papers, n.d.
Davenport was on the London Mathematical Society committee set up
to edit Hardy's papers, and did much work for it (see Memoir, p. 165)
llpp. ms. draft and notes,
partially paginated, for a talk toan un-
named undergraduate society re Hardy's career and publications, n.d.
C.134
with Ip. ms. notes by Davenport.
Reprint of E.C. Titchmarsh's L.M.S. memoir of G.H. Hardy,
3pp. photocopy of Hardy's 1914 paper on Riemann functions.
'A great Oxford mathematician’ (H.J.S. Smith), Invariant Society,
Oxford, 3 May 1950.
Ilpp. typescript draft with ms. corrections.
Srig/
Society, 3 March 1954.
7pp. ms. draft of version delivered to Oxford Mathematical
Cie. C197
"Diophantine Approximation’, 1952, 1954.
l4pp. ms. draft of version delivered to British Mathematical
C.136
Colloquium, Greenwich, July 1952.
Alpp. typescript draft for lecture (in French).
Rough outline of 'informal' talk at Queen Mary College, London,
4 February 1954.
'Problémes d'empilement et de recouvrement', Rome 1955.
App. ms.
draft and notes re Diophantine approximation.
App. ms.
draft re lattice points.
2pp. ms. only.
H. Davenport
CSAC 112/3/86
Lectures and addresses
"Indefinite quadratic forms in many variables', St. Andrews, September
1956.
App. ms. draft for lecture or talk.
"Some recent work'.
Lecture to the theory of numbers group at the British Mathematical
Colloquium, Nottingham, 11 September 1957.
7pp. typescript draft and 4pp. miscellaneous ms. notes and calculations
found with it.
"Analytical number theory', ?1958.
App. ms. notes also headed ‘Edinburgh 4 hour', for short talk at International
Congress of Mathematics, August 1958.
See also D.121.
‘The nature of mathematics', 1958.
8pp. ms. draft for talk given to the Trinity Mathematical Society,
20 November 1958.
London, 5 March 1959.
See also C.160.
Spp. ms. notes.
'Dirichlet', 1959.
‘Equations in integers', New Pythagoreans, 21 January 1959.
6pp. ms. draft;
ms. notes and calculations.
Speech given at dinner of Mathematical and Physical Society, University
College
"Les Equations diophantiennes 4 plusieurs variables' and 'Les inégalités
diophantiennes a plusieurs variables', lectures delivered at the Faculté
des Sciences, Université de Paris, 6 and 7 April 1959.
in 1860.
App. and 8pp. ms. drafts for talk given in the centenary year of Dirichlet's
death;
Ip. ms. notes made by Davenport from talk given by Kummer
Duplicated typescript drafts;
1959.
letter of thanks from P, Dubreil, 20 July
H. Davenport
CSAC 112/3/86
Lectures and addresses
"Diophantine approximation', lecture delivered at the British Mathe-
matical Colloquium, Southampton, 13 April 1962.
15pp. ms. draft.
Copy of report by Davenport on a visit to Poland, 18-30 March 1963,
under arrangements for exchange visits of scientists between Polish
Academy of Sciences and Royal Society.
.
Davenport gave 3 lectures during his visit and worked with A. Schinzel.
Conference at Oberwolfach, 1-5 April 1963 (after Polish visit).
8pp. duplicated 'Tagungsbericht'.
lecture on Diophantine equations in many variables’.
See p.4 for abstract of Davenport's
Irrational numbers', lecture to the Tensor Club, 6 February 1964.
14pp. ms. draft and calculations.
‘Report on visit to the University of Vienna’, 6-19 April 1964.
Ip. ms. draft.
"Diophantische Gleichungen in mehreren Unbekannten', 15 April 1964,
given during visit to Vienna.
2 ms. drafts, 6pp. and l4pp., with first page only of an early draft,
all in German.
‘Quelques d&écouvertes récentes dans la théorie des nombres', lecture
given at the Université de Grenoble, 16 June 1967.
Bound copy of lecture;
3pp. ms. notes entitled 'Brighton', found with it.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.152-C.156
Undated lectures for societies or conferences.
mS; 2
"Packing and covering by spheres’.
2 ms. drafts, both 7pp., of a talk, one labelled ‘copies Harvard lecture’.
"Problems of packing and covering’.
9pp. typescript draft, perhaps a later version related to Bibliog. 160.
X30
"Simultaneous Diophantine approximation’.
2 ms. drafts, both 4pp.
5pp. typescript draft, with ms. corrections, of 'Congress lecture’.
C.154
'Kongruenzen vom additiven Typ’.
12pp. ms. draft.
Cc. tSa
'The large sieve inequality’.
12pp. ms. draft of 'Lecture delivered somewhere’.
C.156
'Un probléme d'approximation Diophantienne’.
12pp. ms. draft.
Programme of conference at Brussels, 1955.
Announcements of 2 London Mathematical Society lectures
.
Programme of the Mathematical Association, 1949-50.
C.157, C138
Invitations and programmes.
Letter inviting Davenport to session of International Congress
€ 3158
of Mathematicians, 18 June 1949.
C.157
delivered by Davenport, 1946 and 1968.
Programme of conference at Rome, 1968.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.159-C.193
MISCELLANEOUS AND UNDATED LECTURES
Included here are two collections of lecture material (C.159-C.170 and C.182-
C.193) which have been kept together in the order in which they were found.
The first
of these collections is chiefly material concerning the geometry of numbers, while the
second is far more miscellaneous in character, being mostly notes and calculations.
C.171-C.181 consists of miscellaneous lectures which cannot be dated, although most
have titles.
C.159-C.170
'GofN lectures'.
This collection of lecture notes was found together in a folder inscribed
as above. Most deal with the geometry of numbers and some are dated
(1946-59).
They have been kept in their original order.
Of particular interest is C.167, C.A. Rogers's notes of a course of
lectures given by Davenport, and an account of the seminar and dis-
cussion of the lectures.
Cet$9
"Marshall Hall's Theorem on Continued Fractions', n.d.
12pp. ms. draft, probably of a lecture, with Ip. ms. diagram.
‘General Functions', delivered to the Mathematical and Physical
See also C.144.
lépp. ms. notes.
7pp. ms. draft for speech.
10pp. typescript draft with ms. corrections.
C.162
Mathematical and Physical Society dinner, UCL, 9 March 1956.
C.161
(a Cambridge undergraduate society), 23 November 1949.
"Some doubts about mathematics', delivered to the 'Archimedeans',
C.160
Society, University College London, 5 March 1959.
2pp. typescript.
C.164
Professor of Mathematics, University College, London, 1945.
Various ms. and typescript drafts.
Cx165
to the A.M.A., Berkeley, 24 January 1948.
"Abstract of Lecture on the Geometry of Numbers', delivered
"Inaugural lecture’, probably given on appointment as Astor
C.163
"Progress in number-theory since 1930', n.d.
9pp. ms. draft of and notes for a talk.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.166
1 April 1948.
"A theorem of Minkowski', lecture delivered at Berkeley,
8pp. ms. draft.
Ci 167
"The Geometry of Numbers’.
Ms. notes made by C.A. Rogers from Davenport's lectures at University
College, London, 1946, with 'an informal account of the meetings of a
seminar held at University College, and includes a summary of the dis-
cussion of the various lectures’.
C.168
delivered at Cambridge seminar, 8 February 1946.
"Non-homogeneous problems in the Geometry of Numbers’,
Spp. ms. draft.
C.169
"La géométrie des nombres', n.d.
18pp. typescript draft for lecture, with ms. corrections (in French).
C.170
'The Geometry of Numbers', n.d.
22pp. ms. draft for lecture, an English version (probably earlier) of
C169,
Includes label from original folder.
"Abundant numbers', n.d.
12pp. ms. draft for lecture.
2 ms. drafts, 6pp. and 5pp., of a talk.
"Solved and unsolved problems of mathematics’.
5/pp. typescript draft, with ms. corrections, for course of lectures, n.d.
Note on first page 'P.G. lectures ?U.S.'
Ip. ms.
"Solved and unsolved problems'.
7pp. typescript draft, with ms. corrections, of a lecture;
"Some unsolved
p
problems’,
12pp. ms. draft of a talk.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C.174
"Some curious series’.
17pp. ms. draft of and notes and calculations for a talk.
"Diophantine equations in many variables’ .
19pp. ms.
draft for lecture.
"Jarnik and Walfisz'.
10pp. ms. draft for lecture;
3pp. ms. calculations.
C.177,C.178
"Diophantine approximation’.
C.177
Ip. ms. outline of course of 5 lectures.
2|pp. incomplete ms. draft of a series of lectures, paginated 1-13, 95-100.
C..76
2|pp. miscellaneous ms. notes and calculations.
"Geometry of Numbers’.
llpp. ms. notes for 3 lectures.
"Plans for G. of N. course’.
9pp. ms. notes and calculations.
Spp. untitled ms. draft of an after-dinner speech re nature of mathematical
Ypp. untitled ms. draft of a lecture re 'some of the most important
applications of analysis to the theory of numbers'.
Included here isa Ip. ms. list of topics, probably for a lecture course,
headed 'Hilbert'.
progress.
H. Davenport
CSAC 112/3/86
C.182-C.193
'Misc. math.'
Lectures and addresses
Contents of a folder so inscribed, described by Professor B.J. Birch
(February 1986) as: 'a mixed bag of lecture notes for various courses given
mainly at University College.
published in "Multiplicative Number Theory"' (see D.170-D.182).
Some of the material was eventually
The material has been kept together in the order in which it was found.
C.182
2pp. miscellaneous ms. notes and calculations.
6pp. ms. notes and calculations headed '5.
of forms’.
The coefficients in
a period
C.183
App. ms. draft headed 'The reduction of a pair of linear forms’.
2pp. ms. notes and calculations.
Reprint of Bibliog. 75.
C.184
squares’ ,
5pp. ms. draft headed 'Representation of numbers as sums of
2pp. miscellaneous ms. calculations.
C.185
5pp. paginated sequence of ms. notes and calculations.
G:t87
"Zeta-function and L-functions'.
3pp. sequence of ms. notes and calculations.
C.186
6pp. miscellaneous ms. draft and calculations.
6pp. miscellaneous ms. notes and calculations.
Spp. miscellaneous ms. notes and calculations.
3pp. ms. draft headed 'Chapter 6.
Characters’.
function’.
Spp. ms. draft and notes headed 'The Riemann -Zeta function’.
Spp. ms. draft and notes headed ‘Alternative treatment of the Zeta-
C.189
Spp. sequence of ms. notes.
19pp. ms. draft.
C.188
'Cyclotomy'.
13pp. ms. draft and calculations.
H. Davenport
CSAC 112/3/86
Lectures and addresses
C19)
6épp. miscellaneous ms. notes and calculations.
2pp. ms. draft headed 'The prime-number theorem’.
Ip. ms. calculations.
Spp. sequence of notes.
RK isFt
"Geometry of numbers’.
15pp. ms. draft.
S. ee
"Algebraic numbers’.
17pp. ms. draft.
Gey Poe
headed 'Chapter VI.
A method of Carlitz’.
Miscellaneous shorter notes, drafts, tables, etc., one draft
H. Davenport
CSAC 112/3/86
SECTION D
PUBLICATIONS
D.1 - D.213
Davenport published nearly 200 papers, as well as three books.
Most of the material
in this Section consists of drafts of the published papers, frequently without any other
material such as notes or calculations.
In some cases however these do survive and in
others there is more than one draft.
Some correspondence is included here, for example,
B.112'4-0.116;
The sequence incorporates material of other kinds, such as the Adams Prize Essay
(D.5 - D.15), the books The higher arithmetic (D.89 - D 92) and Multiplicatative number
theory (D.170 - D.182), reviews by Davenport (D.208), and some unpublished material,
such as 'On writing mathematical papers' (D.201 - D.203).
Material published after Davenport's death can be found at D.204 - D.207, and
his 'collected works' are represented at D.210 - D.213.
The material has been arranged in chronological order, and where applicable the
Bibliography number of the Royal Society Memoir has been given, as well as the date of
publication.
D.1
"On certain exponential sums', 1933 (Bibliog. 5).
3lpp. typescript draft with ms. corrections;
Ip. ms. calculations.
tions, see the relevant entries in Section G and also E
1
-
E
15 (work with H. Hasse).
‘On the product of three linear homogeneous forms (II)', 1938 (Bibliog.25).
For additional correspondence and material exchanged with collaborators in publica-
19pp. typescript draft (incomplete), with ms. corrections; 4pp. type-
script draft.
30pp. ms. draft.
"On the product of three homogeneous linear forms (III)', 1939 (Bibliog. 26)
"On Waring's problem for fourth powers', 1939 (Bibliog. 35).
37pp. typescript draft with ms. corrections.
H. Davenport
CSAC 112/3/86
Publications
Adams Prize Essay for 1939-40.
The essay contains material published in various papers, 1938-46
(including D.2-D.4).
The material here includes early drafts of certain chapters (D.5,
D.6), the whole text, probably as submitted to the judges (D.8-D.14)
and a
little correspondence.
D.5, D.6
together in an unlabelled folder.
Early ms. drafts of various chapters of the essay, found
D.5
jecture of Mordell'.
2ms.
drafts, 3pp. and Spp., for ‘Chapter VI On a con-
9pp. ms. draft and calculations for 'Chapter VII Minkowski's conjecture
and Remak's theorem’.
D.6
9pp. ms. draft headed 'W.P.'.
2pp. ms. draft for 'Chapter V1 On sums of pos. & neg. 4th powers’.
D., 7
31 December 1940.
Ip. ms. ‘Contents of Essay';
3pp. typescript abstract dated
;
As the
D.8-D.11
‘Part One.
D.12-D.14 'Part Two.
On Waring's problem’.
Introduction, Chapters I-VII,
in
3 folders.
Introduction, Chapters I-VII,
in 4 folders.
On the Geometry of Numbers’.
D.15
Includes letter of 29 May 1941 informing Davenport of award.
Brief correspondence re Adams Prize Essay, 1941, 1942.
D.8-D.14_ Ms., typescript and printed text of the essay.
material for many chapters had already been published, much of the
essay was presented in the form of pages from the printed texts pasted
onto file paper.
Originally found in two ring-binders, the material
has been divided into folders for ease of reference.
6pp. ms. draft.
‘On linear fractional substitutions with large determinant', 1940
(Bibliog. 32).
‘On sums of positive integral kth powers', with P. Erdds, 1939
(Bibliog. 36).
App. ms. draft (Erdds's hand).
H. Davenport
CSAC 112/3/86
Publications
"Note on the product of three homogeneous linear forms', 1941
(Bibliog. 39).
App. ms. draft.
'On a conjecture of Mordell concerning binary cubic forms',
(Bibliog. 40).
1941
12pp. typescript and ms. draft.
D.20-D.22
'On sums of positive integral kth powers', 1942 (Bibliog. 34).
D.20
D.21
D.22
App. ms. notes.
18pp. ms. draft.
6pp. galley-proof, with ms. corrections.
"On Waring's problem for fifth and sixth powers', 1942 (Bibliog. 37).
l4pp. ms. draft.
4 ms. drafts, 6pp., 7pp., ]Opp. and 11pp.
D.24, D.25
D.26, D.27
D.24
D.25
D.26
D.27
Ip. ms. calculations, l4pp. typescript draft.
‘On the minimum of a binary cubic form', 1943 (Bibliog. 41).
'On the product of three homogeneous linear forms (IV)', 1943
(Bibliog. 42).
10pp. ms. draft.
‘On the minimum of a ternary cubic form', 1944 (Bibliog. 43).
Ms. draft paginated 1-45 (p.24 missing).
32pp. ms. draft.
H. Davenport
CSAC 112/3/86
Publications
'The reduction of a binary cubic form (I)', 1945 (Bibliog. 45).
8pp. typescript draft with ms. corrections.
'The reduction of a binary cubic form (Il)', 1945 (Bibliog. 46).
12pp. ms. draft;
8pp. typescript draft with ms. corrections.
'On the minimum of x3 +y3 +23", 1946 (Bibliog. 44).
2 ms. drafts, 5pp. and 6pp.
"Simultaneous Diophantine approximation', with K. Mahler, 1946
(Bibliog. 47).
8pp. ms. draft;
d6pp. typescript draft.
"On a theorem of Tschebotareff', 1946 (Bibliog. 48).
2 ms. drafts, each 7pp.
8pp. ms. draft.
"Non -homogeneous binary quadratic forms', 1946 (Bibliog. 51).
12pp. ms. draft (Heilbronn's hand);
9pp. ms. draft.
‘The product of n homogeneous linear forms', 1946 (Bibliog. 50).
‘On indefinite quadratic forms in five variables', with H. Heilbronn,
1946 (Bibliog. 49).
7pp. and 8pp. ms. drafts.
H. Davenport
CSAC 112/3/86
Publications
"Theory of Numbers', 1946-47.
Davenport was approached, initially by E.A. Milne, to write a book
on this subject as one of a series of mathematical works for the interested
layman.
See D.89-D.92.
4 letters from E.A. Milne, 1946, outlining the proposed series, the level
of mathematics to be aimed for and the publishers' terms.
The book was published in 1952 as 'The higher arithmetic’.
Letter from Hutchinson & Co., publishers, 1947, enquiring re Davenport's
progress, with his reply apologising for the delay, due to pressure of
work.
'The Natural Numbers’ .
5pp. typescript draft, probably of introduction to the book.
6pp. untitled typescript draft, paginated 15-20.
"On the product of three non-homageneous linear forms', 1947 (Bibliog. 52).
20pp. typescript draft, with ms. corrections.
Letter to Heilbronn, 27 June 1946, re modification to a proof.
5pp. untitled ms. draft, partially paginated, labelled '55A'.
"Asymmetric inequalities for non-homogeneous linear forms', with
H. Heilbronn, 1947 (Bibliog. 55).
Included here is 'A problem in the geometry of numbers', with H. Heilbronn,
6pp. ms. draft labelled ‘essentially published', probably 1947 or a little
later.
‘final’ draft.
‘On Hlawka's theorem in the geometry of numbers', with C.A. Rogers,
1947 (Bibliog. 58).
Postcard from Rogers, 3 January 1947, re solution to an equation, and
Spp. ms. notes;
Ilpp. ms. draft, Ip. labelled 'Prelim to 58';
l0pp. ms.
'On a theorem of Markoff', 1947 (Bibliog. 57).
Spp. ms. draft.
H. Davenport
CSAC 112/3/86
Publications
'The Geometry of Numbers', 1947 (Bibliog. 59).
App. typescript draft.
'A historical note’, 1947 (Bibliog. 60).
2pp. typescript draft with ms. corrections.
"Non-homogeneous binary quadratic forms II', 1947 (Bibliog. 61).
l4pp. typescript draft with ms. corrections.
"Non-homogeneous binary quadratic forms III', 1947 (Bibliog. 62).
Opp. typescript draft.
'Sur une extension d'un théor€me de Minkowski', 1947 ‘Bibliog. 64).
2pp. ms. draft.
D.47
D.48
24pp. ms. draft.
34pp. ms. draft.
'The geometry of numbers', 1947 (Bibliog. 67).
l0pp. typescript draft.
D.47, D.48
'Non-homogeneous binary quadratic forms IV', 1947 (Bibliog 66).
Ilpp. ms. notes and calculations, Ip. labelled 'Prelim to 66’.
"Non-homogeneous ternary quadratic forms', 1948 (Bibliog. 63).
App. typescript draft with ms. corrections.
"Note on indefinite ternary quadratic forms', 1948 (Bibliog. 71).
H. Davenport
CSAC 112/3/86
Publications
'On the equation ax* + by? +ez2 = O', 1948 (Bibliog. 72).
5pp. typescript draft with ms. corrections, with Ip. ms. addition.
"On indefinite ternary quadratic forms', 1949 (Bibliog. 56)
l4pp. typescript draft with ms. corrections, with Ip. ms. addition.
"On the product of two power series', with G. Pélya, 1949 (Bibliog. 69).
9pp. typescript draft;
]Opp. ms. and typescript draft.
‘On a result of Wald', with G. Pélya, 1949 (unpublished).
2 ms. drafts, 6pp. and 5pp.;
to Pélya.
letter from Wald, 19 September 1949,
'A divisor problem', 1949 (Bibliog. 73).
llpp. ms. draft.
"On a theorem of Khintchine', 1950 (Bibliog. 68).
18pp. typescript draft with ms. corrections.
25pp. typescript draft with ms. corrections.
'On fhe series for L(1)', 1949 (Bibliog. 73).
Spp. typescript draft with ms. corrections.
"Indefinite binary quadratic forms, and Euclid's algorithm in real
quadratic fields', 1950 (Bibliog. 70).
Continued
"Euclid's algorithm in real quadratic fields', with H. Chatland, 1950
(Bibliog. 74)
D.60
in certain real quadratic fields', by P. Varnavides.,
'A Theorem proving the existence of an Euclid's Algorithm
Ppp. ms. draft, with letter,
18 May 1948, re publication of paper.
H. Davenport
CSAC 112/3/86
Publications
D.60 (Cont'd.)
'On the Euclidean algorithm in quadratic number fields', by H. Chatland.
App. typescript draft, with letter, 28 May 1949, re queries made
by Davenport.
D.61
3pp. ms. notes and calculations.
App. ms. draft entitled '3.
Proof of the Theorem’.
'The field k (193)!
5pp. typescript draft, labelled 'sent to Chatland as a model for the
calculation in 74'.
D
62
"Euclid's algorithm and the class-number'
2pp. ms. draft.
"Euclid's algorithm in real quadratic fields',
l4pp. typescript draft.
'Euclid's algorithm in cubic fields of negative discriminant', 1950
(Bibliog. 76).
23pp. typescript draft with ms. corrections, with 7pp. ms. additions.
D.64
D.65
"Indefinite binary quadratic forms', 1950 (Bibliog. 77).
13pp. ms. draft, labelled 'prelim to 77'.
IIpp. and 6pp. ms. drafts, both labelled 'prelim to 77'.
D.66
editor, T.W. Chaundy, re corrections.
12pp. typescript draft with ms. corrections, with note from
Spp. typescript draft with ms. corrections.
'Diophantine inequalities with an infinity of solutions’, with C.A. Rogers,
1950 (Bibliog. 79).
'On the critical determinants of cylinders', with C.A. Rogers, 1950
(Bibliog. 81).
S9pp. typescript draft with ms. corrections;
Ip. ms. list of contents.
H. Davenport
CSAC 112/3/86
Publications
'Euclid's algorithm in certain quartic fields', 1950 (Bibliog. 82).
34pp. typescript draft with ms. corrections.
‘Note on a binary quartic form', 1950 (Bibliog. 83).
l0pp. typescript draft with ms. corrections.
'L'algorithme d'Euclide dans certains corps algébriques',
(Bibliog. 84).
1950
7pp. typescript draft, in English, labelled ‘basis of lecture at Paris
congress Sept 1949';
9pp. ms. draft (in French).
"Study and Research in Mathematics', 1950 (Bibliog. 85).
9pp. typescript draft.
"Sums of three positive cubes', 1950 (Bibliog. 87).
6pp. ms. draft;
7pp. typescript draft.
D.75
13pp. typescript draft with ms. corrections.
D.74
labelled 'Second draft (used at lecture)’ and 'Congress lecture’.
Spp. ms. draft with 3pp. ms. notes;
I5pp. ms. draft
‘Recent progress in the geometry of numbers', 1950 (Bibliog. 91).
‘On a principle of Lipschitz’, 1951 (Bibliog. 88).
Spp. typescript draft labelled 'prelim to 88', with 4pp. ms. notes;
6pp. typescript draft.
Ilpp. typescript draft.
‘On the class-number of binary cubic forms (I)', 1951 (Bibliog. 89).
8pp. typescript draft, entitled 'On binary cubic forms', labelled ‘preliminary
to 89';
H. Davenport
CSAC 112/3/86
Publ ications
'On the class-number of binary cubic forms (II)',
1951 (Bibliog. 90).
7pp. typescript draft.
'On sequences of positive integers’, with P.
Erd&és, 1951 (Bibliog. 92).
6pp. typescript and ms. draft.
"Prime Numbers', 1951 (Bibliog. 96).
l0pp. typescript draft with ms. corrections.
"Sur un systéme de sph®res qui recouvrent |'espace 4 n dimensions’,
1951 (Bibliog. 98).
App. typescript draft, in English, entitled 'Note on a theorem of Rogers';
with covering note to Rogers, 22 May 1951, labelled 'Preliminary to 98';
3pp. typescript draft (in French).
"Note on normal decimals', with P. Erddés, 1952 (Bibliog. 93).
8pp. photocopy of typescript draft.
"Note on a
result of Chalk', 1952 (Bibliog. 95).
12pp. photocopy of typescript draft.
‘Linear forms associated with an algebraic number-field', 1952 (Bibliog. 94).
20pp. typescript draft.
'The covering of n dimensional space by spheres', with R.P. Bambah,
1952 (Bibliog. 97).
'The covering of space by spheres', 1952 (Bibliog. 99).
15pp. ms. and typescript draft.
7pp. ms. and typescript draft.
H. Davenport
CSAC 112/3/86
D.87
"Simultaneous Diophantine approximation', 1952 (Bibliog. 100).
Publications
15pp. typescript draft with ms. corrections.
"The distribution of quadratic and higher residues', with P. Erd&s, 1952
(Bibliog. 101).
lépp. photocopy of typescript draft.
D.89-D.92
"The Higher Arithmetic', 1952.
See also D.37.
The book, which became a very popular textbook, reached its fifth
edition in 1982.
'It has undoubtedly been a source of joy and inspiration
to many mathematicians both amateur and professional’ (Memoir, p.167).
See C.86 for cover illustration of fifth edition.
D.89
‘Old material for book'.
Contents of a folder so inscribed, consisting of extensive ms. notes and
drafts kept in their original order.
clipped together for ease of reference.
from 1947,
Continuous sequences have been
Some material probably dates
D.90
lishers, 1951-57.
Correspondence with Hutchinson's University Library, pub-
Professor B. J. Birch has contributed (February 1986) the following
explanatory note:
Probably the material was "tested" in lectures at UCL
(and maybe Bangor).'
Correspondence with reviewers, L. Schoenfeld and P.T. Bateman, 1953,
with Ip. ms. note of where reviews appeared.
"All of this can be regarded as material for his book on
"Higher Arithmetic", though only a small proportion of
these notes survived into the printed version.
CW
D.91, D.92
1952-61, arranged in alphabetical sequence.
General correspondence with colleagues and others,
D.91
B-G
D.92
H. Davenport
CSAC 112/3/86
Publications
'The minimal points of a positive definite quadratic form', with
G.L. Watson, 1954 (Bibliog. 103).
5pp. typescript draft with ms. corrections.
"Simultaneous Diophantine approximation’, 1954 (Bibliog. 104).
34pp. typescript draft.
Mathematika, vol.1, part 1, June 1954.
Davenport was responsible for the founding of this journal (see Memoir,
p.164), and remained an editor throughout his life.
contained 2 papers by him (Bibliog. 103 and 104).
The first issue
Proof copy with Davenport's ms. corrections, including Ip. ms. notes.
‘Simultaneous Diophantine approximation', 1954 (Bibliog. 106).
Spp. typescript draft.
l5pp. ms. draft.
D.97
D.98
19pp. typescript draft with ms. corrections.
D.99-D.101
D.97, D.98
"On a theorem of Furtwdngler', 1955 (Bibliog. 105).
2 letters from H.P.F. Swinnerton-Dyer, 1954, re publication
"Products of inhomogeneous linear forms', with H.P.F. Swinnerton-
Dyer, 1955 (Bibliog. 107).
D.99
of paper, with 2pp. ms. notes and calculations entitled 'n = 5, r= 1,
s = 2', and labelled 're 107’.
44pp. typescript draft with ms. corrections.
33pp. untitled ms. draft (Swinnerton-Dyer's hand), labelled
D.100
"first version’.
D.101
Spp. untitled ms. draft, with 2pp. ms. calculations.
H. Davenport
CSAC 112/3/86
Publications
"The solubility of certain Diophantine inequalities’, with K.F. Roth,
1955 (Bibliog. 108).
24pp. paginated draft.
‘Rational approximations to algebraic numbers', with K.F. Roth, 1955
(Bibliog. 109).
l5pp. typescript draft with ms. corrections.
"Le recouvrement de |'espace par des sphéres', 1955 (Bibliog. 110).
12pp. ms. draft.
"Indefinite quadratic forms in many variables', 1956 (Bibliog. 112).
26pp. typescript draft with ms. corrections.
"Note on irregularities of distribution’, 1956 (Bibliog. 113).
8pp. ms. draft.
D.107, D.108
D.107
34pp. ms. draft.
D.108
Proofs, with ms. corrections.
See also D.112-D.120.
Spp. typescript draft, with ms. corrections
by both authors.
"Indefinite quadratic forms in many variables II', 1958 (Bibliog. 114).
"Indefinite quadratic forms in many variables (III)', with B.J. Birch,
1958 (Bibliog. 118).
19pp. ms. draft (in Davenport's hand), labelled 'superseded’.
‘On a theorem of Davenport and Heilbronn', with B.J. Birch, 1958
(Bibliog. 119).
D.110
of "A theorem of Davenport & Heilbronn"'.
6pp. ms. draft (in Birch's hand), entitled ‘Davenport's version
D.110, D.111
See also D.112-D.120.
H. Davenport
CSAC 112/3/86
Publications
D.111
37pp. typescript draft with ms. corrections.
D.112-D.116
Correspondence with B.J. Birch, June 1957-July 1958, re joint papers
(Bibliog. 118 and 119).
Since Davenport collaborated with Birch on these two papers published
in 1958, and as an accurate division of this material between them
would be impossible, it has been arranged in a single chronological
sequence.
D.112
June, July 1957
D415
January, February 1958
D.113
August 1957
D.116
March-July 1958
D.114
September -December 1957
D.117-D.120
Notes and drafts found with D.109-D.116, probably related to Bibliog.
118 and 119.
D.117
2 ms. drafts, 5pp. and IIpp.
D.118
and 6pp.
2 ms. drafts on same subject, 7pp. (with 4pp. ms. notes)
D.120
Ms. notes by Birch.
D.122-D.128
"Cubic forms in 32 variables', 1959 (Bibliog. 116).
D.119
Miscellaneous ms. notes, drafts and calculations.
Spp. typescript draft with ms. corrections; set of page-proofs.
"The work of the Fields medallists. Dr. K.F. Roth', 1958 (Bibliog. 121).
"Absolute" lemmas’.
25pp. ms. draft, paginated 73-97, and headed '8 Synthesis' .
D.123, D.124
different ms. corrections.
2 copies of 75pp. typescript draft, both
with
D.126
l4pp. ms. draft headed 'Cubic Forms.
).122
74pp. ms. draft.
0 tee
H. Davenport
CSAC 112/3/86
Publications
D.127
variables'; 26pp. ms. draft headed 'B.
Ip. ms. notes headed 'History of cubic forms in 32 (later 16)
Certain exponential sums'.
D.128
lépp. ms. draft headed 'G. ° Synthesis’.
(D.127, D.128 are the contents of a folder inscribed 'Cubic forms
(old) historical interest’ .)
D.129-D.131
"Indefinite quadratic forms', with D. Ridout, 1959 (Bibliog. 120).
D.129
including Ip. in another hand.
8pp. ms. and typescript draft and notes, partially paginated,
D.130
26pp. ms. draft.
D.131
Set of page-proofs with ms. corrections.
"Some recent
P
progress in analytic number theory’, 1960 (Bibliog. 123).
Y
eee:
Y
12pp. typescript draft with ms. corrections; copy of J.Lond.Math.Soc.,
April 1960, including paper.
D.135, D.136
D.136
2 ms. drafts, 7pp. and 8pp.
2 ms. drafts, 15pp. and lépp.
"On Weyl's inequality and Waring's problem for cubes', with S. Chowla
1961 (Bibliog. 124).
/
‘On a theorem of P. J. Cohen', 1960 (Bibliog. 125).
‘Uber einige nevere Fortschritte der additiven Zahlentheorie', 1960
(Bibliog. 127).
8pp. ms. draft 're 124' and 5pp. ms. draft.
D.135
29pp. ms. draft.
H. Davenport
CSAC 112/3/86
Publications
D.137
"A note on binary cubic forms', 1961 (Bibliog. 126).
2 ms. drafts, 9pp. and I lpp; correspondence.
‘Equations of the form f(x) =g(y)', with D. J. Lewis and A. Schinzel, 1961
(Bibliog. 129).
13pp. ms. and typescript draft with ms. corrections.
‘Cubic forms in 29 variables’, 1962 (Bibliog. 130).
23pp. typescript draft with ms. corrections.
D.140, D.141
"The addition of norm forms', with B.J. Birch and D.J. Lewis, 1962
(Bibliog. 131).
D.140
13pp. ms. draft.
D.141
lépp. ms. draft, with 5pp. ms. notes.
"A note on Diophantine approximation', 1962 (Bibliog. 133).
7pp. typescript draft with ms. corrections.
34pp. ms. draft with covering note to 'Bryan' (Birch).
"Cubic forms in sixteen variables', 1963 (Bibliog. 134).
Set of galley-proofs with ms. corrections.
‘Exponential sums in many variables', with D.J. Lewis, 1962
(Bibliog. 135).
Set of page~proofs with ms. corrections; 2pp. ms. notes.
"Notes on congruences (I)', with D. J. Lewis, 1963 (Bibliog. 136).
D.145
2 typescript drafts with ms. corrections, 9pp. and 12pp.
D.145, D.146
D.146
H. Davenport
CSAC 112/3/86
Publications
"Notes on congruences (II)', with D.J. Lewis, 1963 (Bibliog. 137).
15pp. ms. draft with corrections.
"Homogeneous additive equations’, with D.J. Lewis, 1963 (Bibliog. 138).
A4épp. ms. draft with corrections; note to publisher.
'A problematic identity', 1963 (Bibliog. 140).
6pp. ms. draft.
'A note on Diophantine approximation (Il)', 1964 (Bibliog. 144).
15pp. ms. draft with corrections.
D.151, D.152
'Two problems concerning polynomials', with A. Schinzel, 1964
(Bibliog. 146).
D.151
13pp. ms. draft;
12pp. typescript draft with ms. corrections.
5pp. ms. notes by A. Schinzel, dated 9.3.64, possibly
D.154, D.155
‘On a theorem of Mrs. Turén', 1965 (Bibliog. 153).
8pp. heavily-corrected ms. draft, and photocopy of original
"Non-homog. cubic eqns', with D. J. Lewis, 1964 (Bibliog. 148).
D.152
work for this paper (or for Bibliog. 145).
10pp. ms. draft, beginning: 'This is an account of a paper by Lewis
and myself which has been submitted to PLMS'.
published as 159'.
6pp. ms. draft with 2pp. ms. notes, labelled 'Early version, eventually
D155
covering letter to B. J. Birch,
8 July 1964.
7pp. photocopy of ms. draft with ms. corrections, and a
D.154
version without corrections.
'y2
- x3
ae 19s
H. Davenport
CSAC 112/3/86
Publications
>. 157
7pp. untitled ms. draft, labelled 'm/s of 158 (first folio missing)',
21966.
"Looking back', 1966 (Bibliog. 162).
lépp. typescript with ms. corrections.
"Small differences between prime numbers', with E. Bombieri, 1966
(Bibliog. 163).
33pp. photocopy of ms. draft, marked up for print.
'A note on certain arithmetical constants', with A. Schinzel, 1966
(Bibliog. 165).
7pp. typescript draft with ms. corrections.
'Cubic equations of additive type', with D.J. Lewis, 1966 (Bibliog. 167)
68pp. typescript draft with ms. corrections.
"Notes on congruences. IlIl', with D.J. Lewis, 1966 (Bibliog. 169).
'Eine Bemerkung Uber Dirichlets L-Funktionen', 1966 (Bibliog. 171).
17pp. ms. draft with corrections.
8pp. typescript draft, with Ip. ms. list of references and Ip. ms.
calculations.
"Diophantine approximation and sums of roots of unity', with A. Schinzel,
1967 (Bibliog. 166).
Miscellaneous ms. notes and drafts.
D.164
November 1965-October 1966.
Correspondence, chiefly with A. Schinzel, re paper,
.164-D.169
D.165
H. Davenport
CSAC 112/3/86
Publications
D.166
'A problem connected with Diophantine approximation’.
6pp. ms. draft.
'Diophantine approximation and roots of unity’.
8pp. ms. draft.
D.167
2Ipp. ms. draft with corrections, labelled 'Versions of 166'.
D.168
l5pp. ms. draft with corrections.
D.169
additions.
Photocopy of typescript draft, with ms. corrections and
D.170-D.182
‘Multiplicative number theory’, 1967.
The book 'contains an extremely readable account of the analytic approach
to the theory of the distribution of primes in arithmetic progressions'
(Memoir, p.167).
second edition (revised by H.L. Montgomery) did not appear until 1980.
Davenport submitted a revised ms. in 1969 but the
For related material see C.182-C.193.
D.170-D.174
238pp. ms. draft with corrections.
5 folders.
D.178-D.182
revised version.
5 folders.
D.175
App. typescript index with ms. corrections.
D.176, D.177
Corrected proofs.
Photocopy of original ms. draft, with ms. corrections for
D.178 includes letter from Davenport, 4 April 1969, to
re corrections, also mentioning that he was in hospital.
D.170 includes covering note from publisher, August 1967, returning
"dead' material (now at D.170-D.177).
For correspondence and further drafts see G.37.
"On the large sieve method', with E. Bombieri, 1968 (Bibliog. 172).
Yu. V. Linnik
17pp. ms. draft with corrections.
H. Davenport
CSAC 112/3/86
Publ ications
D.184, D.185
'On the representation of positive integers as sums of three cubes of
positive rational numbers', with E. Landau, 1968 (Bibliog. 174).
This paper was published in a memorial volume to Landau; the work
had actually been done in 1935.
D.184
Spp. and 4pp.
Ms. notes and calculations, including 2 paginated sequences,
6épp. notes by Landau.
D.185
Spp. ms. draft; corrected proofs.
Also included is a letter from Marianne Landau on the death of her
husband.
D.186, D.187
"Bases for finite fields', 1968 (Bibliog. 175).
D.186
Extensive ms. drafts and calculations.
D.187
38pp. ms. draft with corrections.
"A theorem on linear forms', with W.M. Schmidt, 1968 (Bibliog. 177).
23pp. photocopy of typescript draft.
D.189
D.190
D.191
D.193
3pp. ms. draft on ‘Siegel's Theorem’.
'A note on Thue's theorem', 1968 (Bibliog. 180).
23pp. ms. draft 'Note on the Thue-Siegel Theorem’.
6pp. and IIpp. drafts and calculations on 'Thue's Theorem'.
version of Bibliog.. 181.
‘Some inequalities involving trigonometrical polynomials’, with E. Bombieri
1969 (Bibliog. 181).
lie: photocopy of 'note on the large sieve inequality’, with
Corrected version of D.192 (photocopy).
D.195
E. Bombieri.
a
rly
rr’
For correspondence re paper see G. 38.
D.194
23pp. ms. draft.
D.194, D.195
£
D.189-D.193
D.192
26pp. ms. draft.
H. Davenport
CSAC 112/3/86
D.196, D.197
"Correspondence with Baker relevant to 182, and twom/s'.
Contents of a folder so inscribed.
Publications
D.196
1967, re material for joint paper published in 1969 (Bibliog. 182).
Three letters from Davenport to A. Baker, July, September
(Information from Professor B. J. Birch, February 1986. )
D.197
'The numerical determination of rational approximations’.
6pp. draft.
"A non-homogeneous linear form in 2 variables’.
App. ms. draft.
‘Approx. to a real number by alg-integers', with W.M. Schmidt, 1969
(Bibliog. 183).
6pp. ms. draft.
"Simultaneous equations of additive type’, with D.J. Lewis, 1969
(Bibliog. 184).
Correspondence, January, February 1969; 2pp. ms. draft.
D.201-D.203
'On writing mathematical papers', 1969 (unpublished).
See C.133, C.134 for Davenport's lecture material on Hardy.
105pp. photocopy of ms. draft with corrections; 4pp. ms. summary.
Biographical article on G.H. Hardy commissioned by 'The Encyclopedia
Americana', 1969.
and V. Armitage, February 1970.
Letters to Mrs. Davenport re paper from J.W.S. Cassels, October 1969,
D.203
from L.J. Mordell, June 1969.
23pp. typescript draft with covering letter to Mrs. Davenport
D.201
D.202
Correspondence, 1966, 1969;
2pp. ms. notes.
Background material (printed matter).
H. Davenport
CSAC 112/3/86
Publications
"Two additive equations', with D.J. Lewis, 1971 (Bibliog. 186).
32pp. photocopy of typescript draft with ms. corrections.
"Homogeneous quadratic equations', 1971 (Bibliog. 194).
10pp. photocopy of typescript draft.
"Gaps between values of positive definite quadratic forms', with D.J. Lewis,
1971 (Bibliog. 195).
27pp. photocopy of typescript draft;
Ip. corrections.
Ip. instructions to printer;
'Trigonometrical polynomials', published as 'The zeros of trigonometrical
polynomials', Mathematika, 19,
1972, 88-90, with the footnote:
'This note has been prepared for publication by Professor
H. Halberstam from a draft manuscript sent to him in 1967
by the late Professor Davenport in the course of a corres-
pondence on the large sieve inequality; specifically,
Halberstam had asked Davenport whether the inequality
might not have some applications in the theory of trigonometrical
polynomials and the note came in reply to this query.'
;
Reviews by Davenport, 1938-64.
Arranged in chronological sequence by date of the publication of the
work reviewed.
3pp. ms. note by Davenport;
March 1968.
letter from Halberstam returning it to him,
Letter to Mrs. Davenport from C.A. Rogers, March 1972, enclosing
photocopies of her husband's original draft and the proposed paper
Halberstam had prepared from it.
Davenport, n.d.
Material includes review of L. J. Mordell's inaugural lecture as Sadleirian
Professor at Cambridge, published 1947.
Spp. incomplete typescript draft of letter concerning a book, not by
H. Davenport
CSAC 112/3/86
Publications
D.210-D.213
'The collected works of Harold Davenport', edited by B.J. Birch,
H. Halberstam and C.A. Rogers, 1977.
D.210-D.212
colleagues 1969-75.
Correspondence between the editors
and with other
D.210
1969, 1970
D.211
1974
D.212
1975
D.213
by Davenport.
B.J. Birch's ms. notes for and drafts of introductions to papers
Photocopies of Davenport's typescript notes on his own work.
for full version see A.10.
Part only;
App. typescript index, with ms. corrections by B.J. Birch.
H. Davenport
CSAC 112/3/86
SECTION E
RESEARCH NOTES AND DRAFTS
E.1 -E.135
Et ee
COLLABORATION WITH HELMUT HASSE, 1933-36
B16. 26.89
TITLED AND UNTITLED DRAFTS
E.84 -E.102
MISCELLANEOUS NOTES AND CALCULATIONS
Bs tW3st 3326
NOTES ON WORK BY OTHERS
E.127-E.135
© WORK BY OTHERS
B.peeune
COLLABORATION WITH HELMUT HASSE, 1933-36
Davenport visited Hasse in Marburg in the 1930s (Memoir, p.161) and they
collaborated on a paper, published in 1934 (Bibliog. 8).
Most of the material here
is Hasse's work but there is some correspondence and a draft for a further collaborative
paper .
Davenport's other collaborators are represented in Sections D and G.
Bat bet
12pp. typescript and ms. draft with ms. corrections.
cet
1933, 1934
Rie
1935
For further correspondence with Hasse, see G.116-G.122.
"Gaussian sums in finite fields', by H. Davenport and H. Hasse.
Letters from Hasse, May 1933-November 1935, chiefly concerning
the joint paper, mostly in English.
7pp. ms. draft, in German, by Hasse.
E.4 includes sets of notes dated 28 September 1933 and 10 December
1935.
Miscellaneous ms. notes and calculations by Hasse, in English and
German.
2 folders.
H. Davenport
CSAC 112/3/86
Research notes and drafts
Copies of typescript drafts of papers by Hasse, in German, presumably
sent by him to Davenport.
Some have ms. corrections and some are
dated, 1933-36.
9 folders.
E.16-E.83
TITLED AND UNTITLED DRAFTS
Probably many of these drafts were intended to form lectures or papers for publica -
tion, while others may be no more than extensive notes.
A number of these are untitled
and very few are dated.
Dated titled drafts
'For a single irreducible polynomial', 1934.
Spp. ms.
‘Three fourth powers', 1943.
6pp. ms. with Ip. ms. calculations.
'On Xj“ +505 1946.
2.
£
'Tschebotareff's constant (/2)9
1939.
"Four fourth powers'
(continuation of E.18).
2pp. ms. with covering note to L. J. Mordell.
Folder also includes 2 additional, untitled drafts, each 3pp.
App. ms., and 8pp. ms. labelled 'Revised version 17.10.43’.
7pp. ms.
Folder also includes 3pp. ms. notes, found with above, entitled
"5 4-th powers’.
H. Davenport
CSAC 112/3/86
Research notes and drafts
'Direct proof of Marshall Hall's Theorem', 1956.
2pp. ms., with 2pp. ms. entitled 'M. Hall.
9 May 1956.
Difference sets', dated
Undated titled drafts
cae
"Polynomials mod x4
7pp. ms.
"Polynomials (mod p)'.
App. ms.
'Vinogradov's work on the addition of primes’.
lépp. ms.
‘Primes in arithmetic progression’.
3pp. ms. with Ip. ms. notes.
9pp. typescript, with Ip. ms. notes.
"Indefinite quadratic forms'.
18pp. ms., with Ip. ms. notes.
‘On reduced positive definite quadratic forms’.
App. ms., with l0pp. untitled ms. draft and notes.
2pp. ms. with 3pp. ms. notes and calculations.
'The quadratic character’.
"Characters (mod M)'.
H. Davenport
CSAC 112/3/86
Research notes and drafts
'The Weierstrassian equation y2 = ase -g9x - 93' ;
6pp. ms.
'On a problem of Fekete’.
3pp. ms.
"An introd. to Turén's book’.
10pp. ms. with reprint of paper presented by P. Turén and 6pp. ms.
notes and calculations.
'Turan-Halasz'.
6pp. ms.
"Units in algebraic number fields’.
10pp. ms., with bibliography.
9pp. ms.
‘Exponential sums’.
Dirichlet Rome vol. to
"Distribution of Farey fractions’.
13pp. ms.
"Diophantine equations in many variables’.
3pp. ms., found in an envelope labelled '185?
appear’, possibly an early draft for Bibliog. 185.
ms.
‘On the cubic exponential sum’.
7pp.
H. Davenport
CSAC 112/3/86
Research notes and drafts
E.39
"Notes on Littlewood's Problem’.
3pp. ms. with 4pp. ms. calculations.
"Littlewood's Problem’.
2pp. ms.
Included here is a further ms. draft, with notes, of the same title,
and 3pp. draft on 'The distribution of certain fractional parts’.
'The critical lattices ...'
épp. ms. with Ip. ms. notes.
'The field k(/5)'.
Spp. ms.
rUnits::
10pp. ms., with 6pp. notes.
3pp. ms.
6pp. ms.
2pp. ms.
"Binary cubic forms with D< O'.
'The product of three complex linear forms’.
‘Analytic treatments of the Kloosterman sums’.
. found with the
Folder also includes '(c<) of Type I', 13pp. ms
above.
‘Four linear forms.
Type I’.
2Ipp. ms., with 4pp. ms. notes.
H. Davenport
CSAC 112/3/86
Research notes and drafts
'The congruence ...'.
App. ms.
'A modification of Cauchy's inequality’.
3pp. ms.
"Successive minima for Ly,
lo,
L3'.
2pp. ms.
'Macbeath's proof of Chalk's theorem’.
Ip. ms.
'Simplest version of Rogers’.
App. ms.
"Ingham'.
5pp. ms.
3pp. ms.
"Quartic’.
"Uniform distribution’ .
Ilpp. ms., with 10pp. ms. notes.
'A lemma concerning pairs of integer points’.
2pp. ms., with 5pp. ms. notes and calculations.
Spp. ms., witha ms. note ‘Birch’.
'On the values of zeta (4 +it)'.
H. Davenport
CSAC 112/3/86
Research notes and drafts
'Modified definition of V,,'.
App. ms.
"Note on some conjectures of Ramanujan’.
Ip. ms., paginated '102'.
‘Extension of Heilbronn's Theorem’.
13pp. ms., variously paginated, possibly connected with Bibliog. 176.
'Charaktere der Restklassengruppe mod (xk,
p) i.
2pp. ms., in German.
"Squares in A.P.'.
3pp. ms.
E.63-E.65
E.64
E.65
E.63
"Analytic continuation’.
l5pp. ms. 'Various expansions and summations'; 8pp. ms.
Shorter ms. drafts (some photocopies), with a ms. note 'copies sent to
Don' (D.J. Lewis), kept together.
paginated.
All bear titles and most are
Contents of an unlabelled binder, consisting of a sequence of unpaginated
ms. drafts, possibly for a course of lectures, with some ms. notes.
These
have been divided into separate folders for ease of reference, and kept
in their original order.
some paginated.
Tlpp. ms. ‘Modular functions'; miscellaneous ms. notes,
l4pp. ms. 'The gamma function'; 22pp. ms. ‘Elliptic functions’.
H. Davenport
CSAC 112/3/86
Research notes and drafts
"Miscellaneous math. mss and notes’.
Contents of a binder so inscribed, consisting of miscellaneous ms. drafts,
notes and calculations.
into folders for ease of reference, and kept in their original order.
| These have been divided
Some with titles.
2pp. untitled (in another hand);
E.66
6pp. 'Hermite's process
of continued reduction'; 5pp. miscellaneous notes and calculations;
9pp. 'Cassels S.D.A.'.
3pp. untitled;
2pp. re '3 k-th powers', with covering
8pp. (in another hand) 'Markoff numbers'; 9pp. ‘Quadratic
E.67
note;
and higher residues';
6pp. tables.
App. on ‘various problems',
E.68
2pp. notes, on ‘Simultaneous Diophantine Approximation'; 4pp. on
'On lattice points in n-dimensional star bodies';
3pp. and 5pp. un-
titled.
13 October 1954; 4pp. with
Miscellaneous bibliographies, including 2 with titles: 'Waring etc. in
Math. Rev.' and 'Sieve methods’.
In view
E.71-E .83
Untitled drafts
Miscellaneous ms. lists of 'problems', probably intended to accompany
undergraduate lecture courses.
With the exception of E.7] and E.72, which contain typescripts, all
the material here consists of ms. drafts without dates or titles.
of the scantiness of the information available, no attempt has been
made to describe these drafts in detail.
13 folders.
H. Davenport
CSAC 112/3/86
Research notes and drafts
E.84-E.102
MISCELLANEOUS NOTES AND CALCULATIONS
Notebooks
E.84
Untitled notebook, with a few pages used at each end, containing
miscellaneous ms. notes and calculations.
Abundantes' .
Ip. headed 'Numeri
E,85-E 87
3 exercise books, labelled 'Cassels 1',
containing notes and calculations.
'Cassels 2' and 'Cassels 3',
E.88
Exercise book, labelled 'Math.', containing miscellaneous ms. calculations.
Titled notes and calculations
5 oF
"Dyson's method for seven cubes’.
App. ms., chiefly calculations, with 2pp. ms. calculations re article
by Dickson.
"Elaboration of previous argument’.
2pp. ms.
‘Ternary cubic’.
'Various equivalences between character-sums'.
I2pp. ms. notes and calculations; 2 ms. tables entitled 'Properly
primifive ternary forms’.
Five items.
"Zero of Emden Function’.
2pp. ms. notes.
2pp. ms. notes with 3pp. ms. calculations.
Miscellaneous shorter notes, all titled.
H. Davenport
CSAC 112/3/86
Research notes and drafts
Untitled notes and calculations
E .95-E.102
Due to the dearth of information on these notes and calculations, no
attempt has been made to describe them in detail.
have been kept together; E.102 contains miscellaneous single sheets.
Groups of notes
E.98 contains material cleared from Davenport's office desk after his
death (information from Professor B. J. Birch, February 1986).
8 folders.
E.103-E. 126
NOTES ON WORK BY OTHERS
This material falls into two parts.
Firstly, notes made by Davenport at lectures
given by others (E,103-E.117) and
secondly, notes made by him on a particular publica-
tion, or line of work, of another (E.118-E.126).
Ip. ms. notes.
E.106
C.A. Rogers.
1953
E.104
E.107
E.108
E.109
Contents of a folder so inscribed.
Notes at lectures
E.103
E.104-E,117
"Lectures attended', 1951-63 and undated.
1951-52
Seminar talks and lectures by P. Erdus.
"Lecture attended in Brussels on Alternating Algebra, May 1946'.
E.105
C.A. Rogers, H.A. Heilbronn.
A. Oppenheim.
Lectures by K.F. Roth, K. Mahler, J.H.H. Chalk,
Seminar talks and lectures by K. Mahler, L. Few.
Seminar talks and lectures by K. Mahler, P. Erdds,
Lectures by W.B. Pennington, B.J. Birch,
Lectures by T. Estermann, A. Renyi.
1952
1954
1955
1956
H. Davenport
CSAC 112/3/86
Research notes and drafts
.110
1956-57.
Lectures by W.B. Pennington, J.W.S. Cassels,
P.. Erdés, G.L. Watson.
1d
oa ue
1957
Lectures by G.C. Shepherd, Danicic, W.J. LeVeque.
1958-59
Lectures by L.J. Mordell, P. Erdéss A.E. Ingham.
E,113
1960-63
Lectures by B.J. Birch, K. Mahler, P. Erdus.
E.114
L. Few, Gelfond.
n.d,
Seminar talks and lectures by E.S. Barnes, P. Erdus,
Geile
n.d,
Lectures by H. Halberstam, K.A. Hirsch, K. Mahler.
E.116
G.L. Watson.
n.d,
Lectures by C.A. Rogers, K.F. Roth, C.L. Siegel,
E2117
Shorter unidentified notes.
Included here is Mrs. Davenport's list of contents of material now at
E.103-E.117.
See also C.27-C.29.
E.118
2 letters from A. Braver, 1932, to Blichfeldt.
"Remarks on work of Blichfeldt', n.d. (¢. 1947-50).
2pp. ms. notes by Davenport.
Davenport's notes on work by others
E.118, E.119
Material relating to Blichfeldt, collected or made by Davenport.
Although in many cases Davenport gave the date of publication of the
work, few of these notes are themselves dated.
Therefore they have
been arranged in alphabetical order, with the exception of E.125, E.126,
where the contents of one of Davenport's own folders have been kept
together.
Ms. notes, some dated 1920-22, not in Davenport's hand.
6pp. typescript draft of a lecture by Davenport, containing material on
'Blichfeldt's Principle’.
App. miscellaneous ms. notes on Blichfeldt, made by Davenport, n.d.
(c.1947-50).
"Various topics in the theory of numbers', 1953-54.
E.119
H. Davenport
CSAC 112/3/86
Research notes and drafts
E.120
‘Richard Braver.
A note on systems of homogeneous algebraic equations', n.d.
3pp. ms. on paper published by Braver in 1945.
yaacoety nid)
8pp. ms. draft and Ip. ms. calculations.
'Mordell's work', n.d.
App. ms.
'Polya's Problem in Amer.
Math Monthly', n.d.
3pp. ms. on paper by G. Pélya.
‘Rademacher.
Riemann-von Mangoldt Theorem', 7 July 1959.
Spp. ms.
'R. Remak.
Formen'.
Uber die Minkowskische Reduktion der definiten quadratischen
3pp. ms. on paper published by Remak in 1938.
'J.V. Whitworth', n.d.
6pp. ms. on paper published by Vinogradov in 1927.
Ip. ms. notes re Whitworth's thesis, 1947, for MSc. at Manchester
University.
'J.M. Vinogradov. Ona general theorem concerning the distribution
of the residues and non-residues of powers', n.d.
Ms. notes on Lerche's formula.
Ms. notes on work by Hecke, including ‘Uber analytische funktionen und
Verteilung von Zahlen mod eins’ (published 1921).
E. hZo
Ms. notes on various topics made from Hardy -Littlewood.
E.125, E.126
"Miscellaneous math mss’.
Contents of a folder so inscribed.
H. Davenport
CSAC 112/3/86
Research notes and drafts
E.126
analytische Zahlentheorie' .
‘Landau.
Bedeutung der Pfeifferschen Methode flr die
Ms. notes on paper published by E. Landau in 1912.
3pp. ms. notes, headed 'B.M. Wilson’.
7pp. ms. notes aiid calculations.
E:127-E..1S5. “ AWORK BYZOTHERS
In alphabetical order.
Of special interest is E.131, a selection and discussion
of research problems by J.E. Littlewood, and Davenport's comments on them.
127
'A valuation of some information concerning finite fields', by J.H. Conway,
n.d.
l4pp. typescript.
(Information from Professor
‘Research Problems’,
by H.T. Croft, August 1967.
28pp. duplicated typescript.
"Problems (mostly geometrical)', by H.T. Croft, n.d.
'This set of problems went through various editions, and was published
(in collaboration with R.K. Guy) in ¢.1983, under the title "Unsolved
Problems in Intuitive Mathematics"'.
B.J. Birch, February 1986.)
7pp. duplicated typescript.
H. Davenport
CSAC 112/3/86
Research notes and drafts
E.129, E.130
Duplicated copies of early ms. drafts by A.E. Ingham of his 'Cambridge
Tract', published in 1932 as The distribution of prime numbers.
Clee
'The Theory of the Distribution of Primes.
Chapter I', n.d.
E. to0
"Chapter I', n.d.
‘Research Problems', by J.E. Littlewood, n.d.
Duplicated manuscript; 4pp. introductory material beginning 'This is
for "Family" reading, aimed at present and former pupils ...'
explaining purpose and history of selection of problems; 26pp. list
of problems.
The document is accompanied by Davenport's 2pp. typescript, 'Comments',
n.d.
"Difference of two positive definite quadratic forms', by D. Ridout,
n.d. (4pp. ms.).
Miscellaneous ms. notes by C.A. Rogers, n.d.
Photocopies of ms. drafts by H.P.F. Swinnerton-Dyer, n.d.
Unidentified.
H. Davenport
CSAC 112/3/86
SECTION F
FACULTY OF MATHEMATICS, CAMBRIDGE
F.1
- F.17
Pd ere
as cae
GENERAL COMMITTEES
NEEDS OF FACULTY AND SUB-DEPARTMENTS
PF. 1OF 12
APPOINTMENTS, 1960-69
F.13
REQUESTS FOR POST-GRADUATE PLACES
F.14-F.16
EXAMINATION PAPERS
Pia?
MISCELLANEOUS
GENERAL COMMITTEES, 1959-65
Policy Committee of the Faculty of Mathematics, 1959-64.
Notices of meetings, agendas, minutes and reports, arranged in
chronological order.
lal
1959 -60
E.3
1964-65 and n.d.
Pure Mathematics Lectures Committee, 1962
Notice of meeting and proposals for lecture list.
Faculty Board of Mathematics, 1964-65.
F.6
ro
1961-63
Correspondence and committee minutes, mainly re newly-
FD
created Department of Applied Mathematics and Theoretical Physics
(D.A.M.T.P.).
October 1964.
Notes and correspondence re affairs of D.A.M.T.P.,
H. Davenport
CSAC 112/3/86
Faculty of Mathematics, Cambridge
NEEDS OF FACULTY AND SUB-DEPARTMENTS, 1959-65
These papers largely consist
ments, in various areas, such as teaching staff, new equipment, etc.
of Statements of Needs of various depart -
Fay
1959-60
re
1961-64
roy
1965 and n.d.
Bs 10er 12
APPOINTMENTS, 1960-69
This material largely consists of papers of the Appointments Committee
of the Faculty of Mathematics.
vacant posts, applications, requests for curricula vitae, etc.
There is also a little correspondence re
F.10
1960-61
Fad
Ve
ae
1963-69
In alphabetical order, 1964, 1965 only.
F.14-F.16
EXAMINATION PAPERS
REQUESTS FOR POST-GRADUATE PLACES
Diophantine Approximation
Copies of examination papers for Mathematical Tripos, Part III, 1964
and 1967.
2pp. ms. list of examination questions, with covering letter from
J.W.S. Cassels, 1961, re suitability of one question.
2pp. untitled ms. list of examination questions, n.d.
1964
1967
Papers |
- VI
Paper 13.
H. Davenport
CSAC 112/3/86
Faculty of Mathematics, Cambridge
MISCELLANEOUS
Shorter items, 1964, 1966 and n.d.
Includes letter and 3pp. report re Science Research Council funded
project on 'Equations in many variables', 1966.
H. Davenport
CSAC 112/3/86
SECTION G
CORRESPONDENCE »G.1:= G.373
Although there are several substantial exchanges, many of the letters are incoming
only, sometimes with a brief ms. note by Davenport of his reply (presumably sent in long-
hand) on which ensuing correspondence may be based.
The content is essentially mathematical though some personal news from Davenport's
long-term friends, colleagues and pupils may be included. | Of special interest are the
extensive exchanges with E. Bombieri, H.A. Heilbronn, K. Mahler and L.J. Mordell,
while no correspondence with G.H. Hardy, however brief, lacks its characteristic
quality.
Davenport's long association with German mathematicians, many of whom
became refugees in British universities including Cambridge, is well documented; several
of the sequences are wholly or partly in German.
Mrs. Davenport's notes identifying correspondents and their connections with
Davenport often accompany the letters and have been gratefully drawn upon in compiling
the entries.
Adams, A
1956, 1959-60
Ankeny, N.C.
1948-52, 1958
Aitken, A.C.
Inequalities.
Mathematical puzzles on integers.
A research student of Davenport at Stanford 1947-48, later at
Princeton and M,.1.T.
llpp. 'Notes on a Sunday Times brain teaser’.
Mainly on number theory.
Ap Simon, H.G.
n.d. probably 1957
H. Davenport
CSAC 112/3/86
Correspondence
Armitage, J.V.
1955-68
A research student of Davenport, later at King’s College, London,
and Durham.
General correspondence on research, appointments, publications.
Go
c6
G7
1956~57.
1958-61
1962-68
Atkin, A.O.L.
Austin, M.C
G.10-G,22
Bambah, R.P.
1946, 1961, 1964
1951
1950-61
Bambah, an Indian mathematician, studied with Davenport in London
and published a collaborative paper with him in 1952 (Bibliog. 97).
G.10
1950-53
1961, 1965 (a letter from a pupil of Bambah on mathematical
1949, 1964
1947, 1966, 1968
G.12
result).
Barnes, E.S.
Basu, S.K.
1954
G.H
Arrangements for Bambah's Fellowship at St.
John's College, Cambridge; includes list of publications and draft
paper on 'Four Squares’.
list of publications, etc.
1933-34, 1939
A German mathematician who was obliged to leave for Britain in
1939.
1950 letter is re paper by R.P. Bambah (q.v.).
Correspondence
1963-65 is on general research problems, appointments, publica-
tions, etc.
Correspondence 1939 includes curriculum vitae, testimonials,
A student of Davenport in London, 1945-47.
Bateman, P.T
1950, 1963-65
Behrend, F.A.
H. Davenport
CSAC 112/3/86
Correspondence
Berlowitz, B
1967
Besicovitch, A.S.
1943, 1947-48, 1950,
1955, 1959
Davenport had been a pupil of Besicovitch and succeeded him as
Rouse Ball Professor at Cambridge.
for the award of the de Morgan medal to Besicovitch (not signed).
1950 document is recommendation
Billing, G.
1939, 1940,
1942, 1952
A Swedish mathematical and bridge-playing colleague at Manchester.
Birch, B.J.
1959, 1966
Brief correspondence only.
frequent collaborators;
he contributed an account of his 'Work on the
analytic theory of diophantine equations’ to the Memoir (pp. 171-176)
and was an editor of the posthumous 'Collected Works’.
Birch was one of Davenport's most
G.2\-G:23
Blaney, H.
1947-54
A research student of Davenport at London.
© 2]
and publication.
1947, November-December.
Frequent letters on results
Bodsy RP. + une.
Blundon, W.J.
1956-57
October-December.
1949, 1953-54.
G.22
paper
G..23
1948, January-July.
Similar correspondence, includes draft
Mainly publication of Blundon's papers on 'multiple covering’, and
'‘packing';
includes figures.
of studies' during year at Cambridge.
Mainly arrangements for Bollobas to come to Trinity College for academic
year 1963-64 and including Davenport's recommendation and ‘account
Bohr, H
Davenport's publications in Acta Mathematica.
1948
1947,
1949
Bollobas, B.
1963-65, 1967
H. Davenport
CSAC 112/3/86
G.28-G.39
Bombieri, E.
and others
1963-74
Correspondence
Bombieri, an Italian mathematician working at Milan, Pisa and
Princeton, visited Davenport in 1963 and 1964 and published four
collaborative papers with him (Bibliog. 150,
Memoir, pp.164-165).
172, 181.
aes
163,
See
1963-64
G.28
in Cambridge 1963-64 and arrangements for Davenport to lecture in
Milan.
Includes Davenport's report on Bombieri's work
G.29
1965, January-July | Correspondence, notes and calcu-
lations; . includes draft paper by Bombieri on 'The Statistical theory of
Dirichlet L-functions'.
G.30
(published Proc .Roy.Soc. A, 1966).
1965, August
Correspondence and drafts on primes paper
G73]
one each by Davenport and Bombieri, related to correspondence.
'Small differences of primes', two ms. drafts,
1965, August
1965, September-December
G .32
and drafts, on “prime numbers' paper and on ‘large sieve’ paper
(published 1968, see G.38).
Continuing correspondence
1967
G.39
1969
G.33
G.34
G.35
G.36
1968, January-July
1966, January-April
1966, June-September
Mainly on sieve paper.
1966, October-December
Includes letter from H. Halberstam.
G37
and correspondence on polynomials (leading up to collaborative paper
published in 1969).
Includes revised version of ‘large sieve method' July,
Extensive notes by Davenport kept with 1966 correspondence.
G.38
of ‘large sieve' paper, and a 7pp. ms. by Davenport 'The case N§& small’,
and letters of comment.
Fields medal at International Mathematical Congress, Vancouver, 1974.
Also includes press-cutting re award to Bombieri of the
Includes arrangements re publication
H. Davenport
CSAC 112/3/86
G.40
G.4l
G.42
Correspondence
Bosanquet, L.S.
Brandon, R.W.
1948, 1949
1953
Braver, A.
1931, and Braver, R.
1953
Brothers, both German refugee mathematicians.
Brjuno, A.D.
Broadbent, A.
Brown, D.S.
4-colour problem.
Buckell, J.F.
Four Square Representation.
Buhl, G.
1954
1934
1946-69 and
n.d,
purt..C,
Capildeo, R.
Bullen, K.E.
Burgess, D.A.
1963, 1965, 1968
Correspondence
A former research student.
One letter only.
Printing of journals and especially Mathematika.
A former research student of Davenport at U.C.L.
on 'character sums’.
Continued
General correspondence on research and publications.
November -December 1946, 1947
G.54
1954, 1955, 1956
G.52-G.56
Cassels, J.W.S.
G2
G.53
1948, 1949, 195]
H. Davenport
CSAC 112/3/86
Correspondence
G.55
1963, 1969
Undated; includes sequences of ms. notes by Cassels,
G56
perhaps 1950s, and contents list of proposed book by him titled
'An introduction to the geometry of numbers’.
Chalk, obit.
A former research student of Davenport in London.
is addressed to C.A. Rogers.
1947, 1950, 1969
Letter of 1947
Champernowne, A.
n.d.
1946-48, 1964
On functional equations; also includes some
Chandrasekhar, S.
GA
personal news.
1946-48
G.60
1964
Chase, R.E.
Proof of unique factorisation.
Chételet, F.
Chatland, H.
1933-63
1946
1948-49
Chowla, S.
Mainly on collaborative paper (Bibliog. 74).
Chowla, a distinguished Indian pure mathematician, studied at
Cambridge, where his supervisor was J.E. Littlewood.
academic posts in India, moving to USA in 1948.
correspondence is sporadic and does not include any of Davenport's
replies.
1962, 1963.
Mainly re collaborative paper (Bibliog. 124),
1933-34 andn.d. —_ Includes testimonials for Chowla
G.64
from J.E. Littlewood and G.H. Hardy.
has a ms. note 'Chowla to Walfisz' (see G.335).
material may be from Chowla's earlier period at Cambridge.
Letter of 16 February 1933
Some of the undated
G.66
1958-60
G.65
1947-49
He returned to
The surviving
H. Davenport
CSAC 112/3/86
Correspondence
G.67
Cohen, P.J.
1959, 1960, 1965"
Research and publications.
G.68, G.69
Cohn, H.
1948-54, 1960-62
G.68
1948-54
Research and recommendations.
G69
for L. J. Mordell.
1960-62
Cole, AK. J:
Mainly re proposed 75th birthday symposium
1952-53
A research student of Davenport in London; mainly re thesis.
Collingwood, E.
1965
Centenary of London Mathematical Society;
article on subject by Collingwood.
includes reprint of
Courant, R.
1934, 1945, 1947
Early correspondence is from Guttingen, with news of German mathe-
maticians.
is renewing contact after the war.
Courant left for America in August 1934.
Later correspondence
1928-59
Includes
G.74
1939
ito
1945-48
G.73-G.76
Coxeter, H.M.S.
Gi73
3pp. 'Prop' by Coxeter.
1928, 1929, 1932 (from Coxeter's mother), 1935.
Includes some personal news as well as mathematical research.
An undergraduate friend of Davenport at Cambridge, using his youthful
nickname of 'Dave' in the letter of 1928 and signing his own letters
"Donald'.
and passed on by him to Davenport.
Enquiry originally addressed to S.T. Shovelton
G.76
1951-53, 1958459
Packing of small circles.
Cridland, N.
1954-56
H. Davenport
CSAC 112/3/86
Correspondence
G.78
Davies, M.
1947
A research student of Davenport on his visit to Stanford.
Davis, C.S.
1945, 1949, 1955
de Bruijn, N.G.
1951-52, 1955
Correspondence 1951-52 is re suitable prize problem for Amsterdam
Mathematical Society.
Delaunay, B.
Derry, D.
Minkowski's work.
Dirac, G.A.
and others
Dolciani, M.P.
1964-65
1953-55
G .84
Davenport on theory of numbers.
Arrangements to spend sabbatical leave working with
Dyson, F.J.
1942, 1946
1962
DuVal, P.
1935
Draim, N.A.
various dates
1950-65
Mainly mathematical but refers to
G.85
Miscellaneous ms. notes and drafts.
One letter only, from Princeton.
J. von Neumann's proposed visit to Cambridge.
Includes laudatory report by Davenport on ‘fellowship thesis by
F.J. Dyson: "Two problems in the theory of numbers",'
Elliott, P.D.T.A,
Eichler, M.
One letter only.
H. Davenport
CSAC 112/3/86
Correspondence
Ennola, V.
1957-59
Research, draft paper
on lattice constants.
Erdus, P.
1934, 1960, 1961-65, 1969
Although Erdés and Davenport collaborated on many publications
1936-63, the surviving correspondence is very meagre and is mainly
from Erdés on various mathematical discoveries.
Correspondence 1960 is enquiry re Erd&s's problem on sets of congruences.
Errera, A.
Estermann, T.
Davenport's ms. letter only.
Evelyn, J.
Fenna, D.
1953, 1955
1949
1950, 1960
1958
Paper on ‘Simultaneous diophantine approximation to series’.
Fjellstedt, L.
Godwin, H.J.
Goodstein, R.L.
1949-50
Flanders, H.
Flett, T.M.
1956
1969
Davenport's carbon only, on a paper by Fjellstedt.
Davenport's unpublished 1938 work on inhomogeneous linear forms.
Brief exchanges only.
Appreciation of Davenport's paper 'Study and research in mathematics'
(Bibliog. 85).
1955
1950
1939
19AZ 1952, inves
Grunwald, G.
Guy, R.K.
Hadamard, J.
1958, 1964
H. Davenport
CSAC 112/3/86
Correspondence
Halberstam, H.
1957, 1962-68
Research, publications, appointments.
Haldane, J.B.S.
1952
One letter only, on an inequality, with Ip. attached calculations
by Davenport headed 'Haldane’.
Hall, M.
1947-48, 1958
General correspondence on research and publications, including collaborative
paper (Bibliog. 72).
Hall, P.
One letter oly.
G.109-G.114
Hardy, G.H.
1965
1938-47
Hardy, one of the most distinguished British mathematicians of his day,
was Sadleirian Professor of pure mathematics at Cambridge 1931-42.
Although this did not coincide with Davenport's undergraduate period,
he and Hardy were colleagues at Trinity during the 1930s and they
collaborated on a second edition of 'Hardy-Wright' (An Introduction
to the Theory of Numbers, by G.H. Hardy and E.M. Wright, 1938),
see G.112, G.113;
see G.351 for brief correspondence re 3rd edition.
G.109
ee
1940
1938, 1939
Appeal on behalf of H. Heilbronn.
1941, n.d. | Undated letter (perhaps 1942) refers to 'an
Gil?
of 'Hardy-Wright' but including a little general mathematical information.
1944, May-December and undated. Mainly on revisions
G.111
undergraduate here called Dyson who is very promising’ [F.J. Dyson].
Hardy's communications are letters and cards in his distinctive spiky
handwriting, often with parentheses and balloons of afterthoughts, some
in pencil and few dated other than by postmark.
1945, 1946, 1947
G.113
October, and miscellaneous comments on other parts of book.
Davenport's letter and revision of Chapter 24,
1944
G.114
H. Davenport
CSAC 112/3/86
Correspondence
Haselgrove, C.B.
One letter only, on mathematical tables.
G.116-0 122
Hasse, H.
1932-52, 1963, 1967
Hasse was a distinguished German mathematician who invited Davenport
to work with him in Marburg (see also G.209); Hasse was director of
the Mathematical Institute in Géttingen 1934-45.
his work greatly though they did not agree on political matters.
pre-war letters are all in very fluent English, with some personal and
general as well as mathematical news.
His letters in German use the
'du' form right to the end.
Davenport admired
Hasse's
G.116
1932, November, December
Oo be
by G.H. Hardy.
1933, January-June.
Letter of 20 January has a ms. note
1933, July-December.
G.118
and 11 November include news of German mathematicians in Germany
and abroad.
Hasse's letters of 20 and 24 October
Getl9
joint paper (Bibliog. 8), and Hasse's appointment at Guttingen.
Includes material re Hasse's and Davenport's
1934
Gi]
G.122
1934-67
G.120
1935
G.123-G .142
Heilbronn, H.A.
and others
1936, 1938, 1939
1946, 1947, 1949, 1952, 1963, 1967 (death of Hasse's wife).
Continued
Heilbronn, a German-Jewish mathematician, was a life-long friend of
Davenport, a colleague at Trinity College, Cambridge, and at University
College, London, and a collaborator on many papers.
was forced to leave Gittingen in 1933, Davenport seems to have initiated
the moves to help him find a post in Britain, and when he was temporarily
interned as an 'enemy alien’ in the Isle of Man in 1940, it was Davenport
whom Gertrud Heilbronn (mother of Hans) appointed to be in charge of her
affairs (G.125 and see also G.110 for an appeal by G.H. Hardy on behalf
of Heilbronn).
friendship with Davenport, can be found in the Memoir by J.W.S. Cassels
and A, Frdhlich (Biographical Memoirs of Fellows of the Royal Society, 22,
1976), an offprint of which is included at G.123.
fo
A fuller account of Heilbronn's career, including his
When Heilbronn
H. Davenport
CSAC 112/3/86
G.123-G.142
(Cont'd. )
Correspondence
1935.
G.123
only, re Heilbronn's acceptance of Bevan Fellowship at Trinity).
Includes a letter from L.J. Mordell;
1934
(card
G.124
1939
Two letters only.
G.125
family affairs, release and service in army.
1940
Includes correspondence re internment, Heilbronn's
G.126
help for Heilbronn's parents, tentatively dated 1943 by Mrs. Davenport.
Includes undated letter from G.H. Hardy re
1946
Research, publications (Bibliog. 54).
G.127
G.128
G.129
G.130
1947
1948
1949
1950
G.131
draft' for a paper 'On cubic fields’ by Davenport.
1951-54
Includes various notes and drafts and a 'Rough
Gaz
1955-58
Research, publications, appointments.
Quantity or quality’.
In 1963 Heilbronn resigned from his
University expansion and shortage of mathematical teachers
Heilbronn disagreed with the proposed large increase in undergraduate
numbers, feeling that standards of entry and of teaching would fall.
Davenport shared this view and helped to organise questionnaires for
information from university colleagues, formulate memoranda and make
representations on the subject.
Chair at Bristol and left Britain for USA and Canada (see Memoir, pp. 122,
124-25).
Almost all the documents in G.133-G.140 are concerned with
the question of university expansion, but there are also a few references
to the affairs of the London Mathematical Society and the Mathematical
Tables Committee.
and Davenport.
G.134
to Chairman, U.G.C, (Sir Keith, later Lord, Murray) and draft
questionnaire.
GA88
university teachers in mathematics’ circulated April 1960 by Heilbronn
Material re 'Questionnaire on recruitment of
G.133
headed 'University expansion.
Heilbronn's letter to A.U.T., December 1959,
1960, January-March.
Includes draft letter and memorandum
1959
1960
H. Davenport
CSAC 112/3/86
Correspondence
G.136
Cambridge, sent to Davenport in answer to questionnaire.
Replies and information from colleagues in
1960, May
G.137
tinuing correspondence, including a little on affairs of L.M.S.
Tables of results and information, and con-
1960, May
G.138
university expansion, to be sent to U.G.C.,
1960, June-July |= Mainly re 'Second Memorandum' on
1960, June-July
G.139
on shortage of teachers of mathematics.
the conference but declined because of his views on university expansion.
(Correspondence kept with the Heilbronn material. )
Correspondence re proposed conference
Davenport was asked to chair
G.140
Memorandum', 'Notes on the questionnaire’, etc.
Miscellaneous notes and drafts for 'Second
1960
G.141
1962-63
G.142
1964, 1965, 1967
Brief correspondence only.
Heinhold, J.
Hlawka, E.
1948
1963
1952
Henstock, R.
Hirsch, K.A.
Hodge, W.D.V.
1948, 1952-56, 1962, 1963
General correspondence on research and publications, and some personal.
Includes (1963) humorous poem 'To Professor Mordell on arrival to the
city of Vienna’.
1955, 1958
Correspondence 1954 is re P. Erd&s.
Hofreiter, N.
1954, 1965
Hooley, C.
Hopf, H.
195]
1963, 1965
H. Davenport
CSAC 112/3/86
Correspondence
Hua, L-K
1939, 1940, 1949, 1964
Later President of Academia Sinica.
G.154°6.153
Ingham, A.E.
and others
1950
G,752
volume of essays on G.H. Hardy.
1950
Correspondence with Ingham and others re
GAS
1950, 1954, 1956, 1960, 1963
Inkeri, K.
Quadratic forms.
Gi55-Galos
Jaeger, J.C.
1948-49
1936-57
A friend of Davenport at Cambridge in 1930s before returning to Tasmania
and (from 1951) Canberra.
Early letters are addressed to 'Dave'.
G.155
1936-44
G.156
1945-48
G.157
1950, 1957
Jarnik, V.
Kemmer, N.
1946
1961
Jenkins, G.M.
Kanagasabapathy, P.
1951-52, 1962-63, 1968
Research and publications.
On 'Physics teaching in Britain’.
A Czech mathematician, renewing contact with UK colleagues.
Polish research student at Cambridge.
Letters to Davenport in California, with news of UCL and Britain.
Khan, N.A.
Knapowski, S.
Kestelman, H.
1947, 1948
1954
1959, 1963, 1966
H. Davenport
CSAC 112/3/86
Correspondence
Kober, H.
A German refugee mathematician.
Breslau, correspondence 1942 from Birmingham.
Correspondence 1930s is from
1934-35 and undated, 1942
Kosambi, D.D.
Kreisel, G.
196]
1958
Lang, S.
Comments on Davenport's research notes and publications.
1963-64
Ledermann, W.
Includes 6pp. ms. note by Davenport 'A question concerning quadratic
forms’.
1958
.170
ots
Leech, J.
Lehmer, D.H.
1958
1948
»
ae
79
LeVeque,
W.J.
1961, 1963
172
1961
1963
Levy, M.
Correspondence on proposed 'Compilation of a
Topical History of the Theory of Numbers’.
report (not favourable) of American Mathematical Society Committee,
Davenport's draft comments, etc.
Includes draft proposal,
Includes 6pp. ms. note by Davenport, 'On Weyl's
G.173
criterion for uniform distribution’ later published jointly with LeVeque
and Erdts (Bibliog. 142) and a related note by LeVeque on Weyl's
criterion.
Delay lines.
1950
H. Davenport
CSAC 112/3/86
G.175-G.184
Lewis, D.J.
1957-68
Correspondence
Lewis, a professor of mathematics at Ann Arbor, Michigan, was a close
friend and frequent collaborator on papers, some published after Davenport's
death.
Much of the correspondence reflects their friendly and hospitable
relationship as well as research, visits and publications, and general news
of the mathematical scene.
is included.
See also C.115-C.129.
A little correspondence from Carolyn Lewis
G.175
G.176
G.77.
1957-58 (Bibliog. 116).
1959-60
196)
.178
1962 (Bibliog.
137, 139), visits, lectures
7?
.180
1963 (Bibliog.
138,..139,: 141,145)
1964 @ibliog.
148)
181-1965
1966 @Bibliog.
.182
188°.
. 184
Linnik, Yu. V.
1967
1968
Littlewood, D.E.
1950-69 (not all dated)
General correspondence, including Russian translation of Davenport's
Multiplicative number theory.
Card only.
Littlewood, J.E.
1952-53, 195e
1931
H. Davenport
CSAC 112/3/86
Correspondence
G.188, G.189
London Mathematical Society
1952-53
Correspondence and papers November 1952-January 1953 re finances,
publishing policy, etc., with Treasurer of the Society, Royal Society,
colleagues, etc.
G.188
Correspondence, notes for meetings.
G.189
Minutes, accounts, background information.
G.190
McAndrew, H.
G.191
Macbeath, A.M.
G. W2
Mack, J.
G.193
McLeod, J.B.
1959
n.d,
1963
1963
G.194-G.201
Mahler, K.
7
1933-67
Mahler, a refugee German mathematician, was a colleague of Davenport
at Manchester (where L.J. Mordell had obtained support for him) and a
long-term friend.
G.199
1956-57
G.200
1958-59 V96t
G.197
1950-51, 1953
G.196
1947-49
G.195
1945 (Bibliog. 47), 1946
G.194
Mahler was interned).
Includes some reference to the founding of, and
G.198
papers for, Mathematika.
1954-55
1933-34, 1940 (one letter only, from Isle of Man where
(one letter only).
G.201
Letter of 4 March 1963 announces Mahler's
decision to accept research chair at Australian National University,
Canberra.
1962-63.
1967
H. Davenport
CSAC 112/3/86
Correspondence
Mann, H.B.
Matthews, K.R.
n.d.
1963-66
Mayer, A.
A German refugee, thanking Davenport for help with publication .
1950
Mendelsohn, N.S.
Milne, E.A.
1949
1926-27, 1945
Milne was Davenport's tutor in applied mathematics at Manchester, 1924-27.
Letters of 1926-27 are re Davenport's Scholarship at Trinity (Milne's
own college, to which he was devoted), with advice on directions of
study.
Letter of 1945 is on current leaders in mathematics.
G.207
Montgomery, H.L.
G.208-G.232
Mordell, L.J.
1969
1927-68
The Manchester
Mordell succeeded Hardy in the Sadleirian Chair at
Mordell, a distinguished mathematician of American origin, with a
special interest in number theory, was Fielden Professor of Mathematics
at Manchester when Davenport took his first degree there.
school of mathematics was particularly strong in the 1930s, and included
several refugee mathematicians; Davenport also joined it as Assistant
Lecturer in 1937.
Cambridge 1945-53 and remained in contact with Cambridge mathematics
Davenport was among his closest friends.
until his death in 1972.:
Mordell recognised his quality from a very early stage (see G.208),
helped him to share his own special interest in the geometry of numbers,
and, according to J.W.S. Cassels, looked on Davenport as ‘his spiritual
heir' (Biographical Memoirs of Fellows of the Royal Society, 19, 1973,
pp .493-520).
teach English to Hasse.
The later correspondence (from about 1944, when Christian names began
to be used) provides interesting general information on the mathematical
scene as well as continuing exchanges on research problems and papers.
There are also occasional contributions from Mabel Mordell.
G.208
at Trinity),
his draft papers to the young Davenport for comment).
1927 (re award of Derby Scholarship to assist Davenport
1929 (suggestions for reading and research; Mordell sent
G.209
take up the 'splendid opportunity’ to go to Marburg to work with and
Letter of 27 November suggests Davenport should
1930
H. Davenport
CSAC 112/3/86
Correspondence
193]
Research and publications, mainly on congruences.
1932-33
@
.210
”
O
euT
Q
O
.
)
t
O
oela
1934, 1935
joa
1936 (one letter only), 1938, 1939 (one letter only).
214
1942, 1943, 1944
:a4o
1945, 1946
.216
)
G
1947 (includes comments on Bibliog. 56), 1948
e
i
w
ae
G.H. Hardy.
1949 (not all dated).
Some refer to death and obituaries
G
.218
G
Ag
G
.220
G.
1950
1951
1952
1953
G
.224
G
‘fee
G
226
1954
1955
1958
1959
1956
1957
G.
G.
G hal.
1960 (one letter only), 1961 (includes draft paper by Mordell
G.228
‘On a Pellian Equation Conjecture’, and a 2pp. untitled ms. note by
Davenport).
1967 (one letter only), 1968 (one letter only)
1963, 1964 (includes draft paper by Mordell)
G .230
G .229
1962
G.231
1965
G .232
H. Davenport
CSAC 112/3/86
Correspondence
Muses, C.A.
Neugebauer, O.
Niven, I.
O'Baoghaill, M.
Triangle of minimum area.
jee, D,
Oppenheim, A.
1958
1946-52
Correspondence and research notes, mainly on quadratic forms, also
on new University of Malaya, Singapore.
Orde, Hit.,5.,
Prime factors of a large number.
Ormonde, Marquess of
1959
Pedoe, D.
Pennington, W.B.
1954-56
Ostrowski, A.
’Schubfachprinzip' .
Equations in high numbers, with 2pp. draft reply.
Includes 1]pp. draft paper by Pennington 'On Widder's inversion formula’.
Phillips, E G.
Littlewood's problem.
1960
1946
1964
Perron, O.
Philipp, W.
H. Davenport
CSAC 112/3/86
Correspondence
Pitman, J.
1962, 1965 and n.d.
Research, appointments.
research notes on 'Cubic Problem',
Theorem of Rado' and 7pp. ms. draft by Davenport on 'Miss Pitman's
simplification’ of Bibliog. 119.
4pp. note by Davenport on 'A
Includes material made available by B. J. Birch:
G.248-G.25]
Polya, Gand Polya, S.
1947-64
Davenport and his wife made the acquaintance of George and Stella
Polya on their Stanford visit 1947-48, and remained lifelong friends.
G.248
1947-48
G 249
G.H. Hardy.
1949
Includes letter (7 May) from A.E. Ingham re
G.250
decision not to accept permanent post at Stanford.
1950-51
Includes (November 1950) reference to Davenport's
G.251
1956-64
Various dates, shorter exchanges.
Popova, H.
1952
1946-68
1947
Rado, R.
1946-50
1952, 1954
G .253
G.254
G.255
G .253-G.255
Prasad, A.V.
1955, 1968 (re thesis)
Includes draft research papers by Popova and correspondence from
A.S. Besicovitch.
Prasad was a research student of Davenport in London, working on theory
of numbers, before returning to India.
Reading in 1954 expresses his gratitude for Davenport's consistent support.
Rado was a refugee mathematician in Cambridge in 1933.
His letter
to Davenport on his appointment to the Chair of Pure Mathematics at
Pye, D.R.
various dates
1934-68
H. Davenport
CSAC 112/3/86
Correspondence
Ramanujam, C.P.
1962, 1965
Rankin, R.
various dates
1950-63
Redei, L.
Hungarian mathematician.
1949, 1953,
1959
Remak, R.
Rendle, A.B.
Comments on paper.
Reuter, G.E.H.
Richert, H-E.
Ridout, D.
Robinson, G. de B.
n.d.
1954
1958, 1959
194]
Robinson, R.M.
G.268
only).
.268-G .278
Rogers, C.A.
and others
1945-69
1959-60
Includes comments
Minkowski's results on packing of tetrahedra.
by J.W.S. Cassels.
Invitation to contribute a book on number theory to new series
‘Mathematical Expositions’ .
Rogers was one of Davenport's most distinguished research students at
University College, London, where he had been an undergraduate
before war service at the Ministry of Supply and where he later held the
Astor Chair.
on the geometry of numbers, and was first author of the Royal Society
Memoir of Davenport.
(Bibliog. 70, 71, 73, 79).
G.269
news, sent to Davenport in USA.
1947
1945, appointment as Demonstrator at UCL, 1946 (one letter
He collaborated with Davenport on several papers
1947-50
Frequent reports on research and departmental
G.270
1948
Departmental news, research, publications
H. Davenport
CSAC 112/3/86
Correspondence
1949
rar)
of Markoff, Hurwitz and Segre' and 'Non-homogeneous quadratic
forms' .
Includes research notes by Rogers 'On theorems
G.272
1950 (Bibliog. 81).
1952, 1953 (Davenport's carbon only), 1954 (research,
G.273
appointments, includes note by Davenport for Nature on Rogers's
appointment to Chair at Birmingham).
G.274
1955
i275
1956, 1957
G .276
1958
Appointment at UCL.
1964
Cae
Includes correspondence with R.F. Wrighton
on packing of spheres, 6pp. note by Davenport on the problem and
comments by Rogers.
G.278
1965, 1969
G.2777G, 260
Rogers, K.
1951-55, 1963,
1964
are
G.281
Romanoff, N.
a, AS or,
G.280
1954-55, 1963, 1964
various dates
1951-57, 1964-65
inhomogeneous minima of indefinite Hermitian forms’.
1961, 1953
Includes research note by Rogers 'The
A research student of Mordell, and later of Davenport, who later
worked in USA.
Roth was a research student and later a colleague of Davenport at UCL
and wrote collaborative papers with him (see Memoir, p.163).
1954, 1956-57, 1964, 1965
G .282
(shortened version prepared by Davenport of a paper by Roth) and French
translation by Davenport.
Includes 4pp. ms. note 'On certain sets of integers'
G.282, G.283
Roth, K.F.
1951
G .283
H. Davenport
CSAC 112/3/86
Correspondence
Rumney, M.
Sadler, D.H.
1947, 1964
1928, 1940-46
Sadler was a contemporary of Davenport at Cambridge.
1928 congratulates 'Dave' on Yeats prize; correspondence 1940-46
describes wartime work for Admiralty, raids on Bath, visit to Germany
and meeting with Hasse 1945, etc.
Card of
Saelman, B.
Problem in elliptic integrals.
Salié, H.
Sawyer, D.B.
Scherk, P.
1931, 1933
1957, 1961
1951
Theorem on addition of residue classes.
—
Schinzel, A.
1962, 1966-69
pene
eee
Schmid, H.L.
Schmidt, F.K.
1937
1960
G.293
185,
188).
.293, G.294
Schmidt, W.M.
Correspondence, mainly on publications (Bibliog. 173,
183,
A Polish mathematician and graduate student of Davenport at Cambridge,
who. collaborated with him on several papers.
Schmidt spent part of the academic year 1966-67 in Cambridge and wrote
several collaborative papers with Davenport.
Various research problems.
Ms. drafts by Davenport for work with Schmidt, 4pp. and
G .294
20pp.
Schnitzer, F.
1965-69
1952-57
H. Davenport
CSAC 112/3/86
Correspondence
G.296
Schoenfeld, L.
Large sieve problem.
G.297
G.298
Schwarz,. S.
Shovelton, S.T.
G.299-G .303
Siegel, C.L.
1947
1956
1938-68
Siegel, a distinguished German mathematician, was born in Berlin.
Much of his pre-war academic life was spent in G&ttingen, to which
he returned in 1951 after residence in USA.
G.303, Siegel's account of events in his life and recollections of
many leading figures in German mathematics. This appears to have
been related to Davenport, and written up by him, in 1966 during his
stay in Gdttingen as Gauss Professor (see G.301).
Of special interest is
1938, 1939 (letter of 16 July includes suggestion that
G .299
Siegel and Davenport should meet in Denmark in March 1940, referred
to in the recollections).
G.300
1941, 1942 (from Princeton), 1954-57, 1964.
1965-66
G.302
1966-68
Includes
See also
Sierpinski, W.
Smith, C.A.B.
These are ms. accounts in Davenport's
'Siegel', 5pp. dated
At Kneser's', 5pp. dated 27 July 1966.
Correspondence and arrangements re Gauss
Siegel's recollections.
G .303
hand: 'Siegel', 5pp. dated 20 and 22 July 1966;
26 July 1966;
‘Siegel
1959, 1963, 1964
Mainly re publications in Acta Arithmetica, including Bibliog. 149.
G.301
Professorship for Davenport at Gittingen, May-July 1966.
notices of lectures and draft in German of Bibliog. 171.
C.108-C.114,
Includes comment by J.W.S. Cassels.
Smith, G.S.
Research problems and notes, ma inly fractions for irrational numbers.
1951
1953, 1955
Spencer, D.C.
1959
H. Davenport
CSAC 112 /3/86
Correspondence
G.308
Sprenger, E.
Paper on 'Odd numbers', redrafted by Davenport.
Sprindzuk, V.G.
Srinivasan, B.R.
Stark, H.
Steen, S.W.P.
Research note.
Steward, G.C.
1967, 1969
1962
1966-67
n.d.
Translation of a Russian paper by Kotelnikoff.
Stoller, G.
Waring's problem.
Swinnerton-Dyer, H.P.F.
1953-57
1958
1951
Taussky-Todd, O.
Szegts, G.
1948-49, 1956
Szekeres, G,
Szele, T.
Includes research note on ‘Davenport's theorem’.
Correspondence, research notes and problems (not all dated) including
collaborative paper (Bibliog. 107).
Correspondence 1956 includes letters re symposia at 1958 Congress and
a memorandum by S. Bergman on complex variables.
Todd, J.A.
Titchmarsh, E.C.
One letter only.
1950, 1957
1957
H. Davenport
CSAC 112/3/86
Correspondence
Tschebotareff, G.N.
Re recent death of his father.
Turan, P.
and Turan, V.
1934, 1947, 1964-67
Research and publications, including contributions to memorial volume
for E. Landau (Bibliog. 172).
Ursell, H.D.
Uspensky, J.V.
Vallance, L.S.
1969
1947
1955-57
van der Corput, J.G. and van der Corput, J.
1946-48, 1952-53, 1961
Visits, publications, research.
Includes a little personal correspondence.
van der Pol,
B.
:
1953
van der Waerden, B.L.
1932-33
Comments on draft papers by Davenport.
1949
1947-60
329
Vandiver, H.S.
G .330
1947-48
. 330-G .334
Varnavides, P.L.
The correspondence is mainly on research and
Varnavides was a research student of Davenport at London and subse-
quently worked abroad.
publications and includes drafts of papers submitted by Varnavides.
1957, 1959-60
Includes various drafts of papers on quadratic forms.
G .332
1952-54
G .333
1955-56
G.33]
1950-51
G.334
H. Davenport
CSAC 112/3/86
Correspondence
G.335, G.336
Walfisz, A.
1930-33, 1936, 1949-57
Pre-war corres pondence is from Rados€; post-war correspondence is from
Tiflis.
G.335
1930, 1931
1932-33
On research and publications by Walfisz and
S. Chowla, and including two drafts of paper by Chowla 'On the class-
numbers of binary quadratic forms! (in Walfisz's hand) and copy of
letter by Walfisz to Chowla.
See G.64.
1936
G .336
exchange of reprints.
1949, 1954, 1956-57
Brief correspondence, mainly on
Ward, G.W.
Contemporary of Davenport at Trinity.
G.338-G.344
Watson, G.L.
1950-60
Despite the paucity of letters
G .338
1950
G.339
195]
G.342
research notes).
G .340
1952
Includes research note.
Includes drafts, etc. for collaborative paper
G.341
(Bibliog. 103), and other research notes.
1953
After taking a mathematics degree at Trinity, Cambridge, in 1930,
Watson entered the Indian Civil Service.
On returning to Britain, he
became a mature research student (part-time) of Davenport in London
and wrote a collaborative paper with him.
from Davenport, the correspondence gives a full account of research,
publications and career and includes several draft papers.
1960
1956 (one letter only), 1957 (includes research note), 1958
1954 (one letter only), 1955 (includes drafts for papers and
Includes draft papers, and 5pp. ms. draft for
G .343
(includes research note).
G .344
part of Bibliog. 119.
1959
H. Davenport
CSAC 112/3/86
G.345
Watson, G.N.
1933, 1945
Correspondence
Correspondence 1933, on a problem of Davenport, includes ms. notes
for a solution by Watson.
Correspondence 1945 is re Davenport's draft obituary of W.E.H. Berwick
(Bibliog. 65) and includes ms. suggestions and additions by Watson.
Whitehart, F.E.
1950
Elementary proof of the prime number theorem.
Whiteley, J.N.
c. 1959-60
Research and publications, including draft papers.
Few letters dated.
Whyte, L.L.
1949, 1952
Correspondence and notes re points on a sphere.
Williams, W.L.G.
Invitation to Davenport to a Chair at McGill.
Wonham, W.M.
1952, 1957
1958
1965
1952
1954-56
Random noise.
Wright, E.M.
Youngs, J.W.T.
Zeeman, E.C.
Proposal for National Mathematics Research Centre.
Correspondence 1952 is re 3rd edition of 'Hardy and Wright' Introduction
to the theory of numbers (published 1954).
In alphabetical order.
Mathematical papers of P. Zervos (father of S.P.).
Shorter scientific correspondence (not indexed).
Includes note by Davenport in reply to problem.
Research and publications on prime numbers.
Zervos, S.P.
Zulauf, A.
Zygmund, A.
H. Davenport
CSAC 112/3/86
Correspondence
G.358-G.372
References, appointments, theses, requests for advice
15 folders,
in alphabetical order.
G.358
G.359
. 360
361
. 362
. 363
.364
.365
'Cranks'
(Davenport's description).
Some with replies by Davenport, or notes for a reply by colleagues.
1 box.
H. Davenport
CSAC 112/3/86
BIBLIOGRAPHY
Reproduced with permission from Biographical Memoirs of Fellows of the Royal Society,
12). ACA MG 92.
. On the distribution of quadratic residues (mod p). 7. Lond. Math. Soc.
6,
49-54.
. On Dirichlet’s L-functions. 7. Lond. Math. Soc. 6, 198-202.
. On the distribution of the /th power residues (mod p). 7. Lond. Math. Soc. 7,
117-121.
. On a generalization of Euler’s function $(n). 7. Lond. Math. Soc. 7, 290-296.
. On certain exponential sums. 7. fiir. Math. 169, 158-176.
. On the distribution of quadratic residues (mod ) (second paper). 7. Lond.
Math. Soc. 8, 46-52.
. Uber numeri abundantes. Sitzungsber. Preuss. Akad. Wiss. Berlin, pp. 830-837.
- (With H. Hasse.) Die Nullstellen der Kongruenzzetafunktionen in gewissen
zyklischen Fallen. 7. fiir Math. 172, 151-182.
. On the addition of residue classes. 7. Lond. Math. Soc. 10, 30-32.
. Note on mean value theorems for the Reimann Zeta-function. 7. Lond. Math.
Soc. 10, 136-138.
. (With H. Herspronn.) On War:ng’s problem for‘fourth powers. Proc. Lond.
Math. Soc. (2), 41, 143-150.
- (With H. Hempronn.) On the zeros of certain Dirichlet series. 7. Lond. Math.
Soc. 11, 181-185.
. The meromorphisms of an elliytic function-field. Proc. Camb. Phil. Soc.
32,
212-215,
. (With H. Hersronn.) On an exponential sum. Proc. Lond. Math. Soc. (2), 41,
449-453,
8-13.
8, 313-320.
- On the product of three homogeneous linear forms. 7. Lond. Math. Soc.
13,
. On the product of three homogeneous linear forms (II). Proc. Lond. Math. Soc.
Proc. Lond. Math. Soc. (2), 43, 73-104.
Proc. Lond. Math. Soc. (2), 43, 142-151.
- (With H. Hemsronn.) On the zeros of certain Dirichlet series (second paper).
J. Lond. Math. Soc. 11, 307-312.
. On the product of three homogeneous linear forms (III). Proc. Lond. Math. Soe.
Phil. Soc. 34, 27.
139-145.
(2), 44, 412-431.
(2),45, 98-125.
» (With H. Hertsronn.) Note on a
result in the additive theory of numbers.
» (With H. Hemsronn.) On Waring’s problem: Two cubes and one square.
. Note on a result of Siegel. Acta Arithmetica, 2, 262-265.
. Note on an identity connected with Diophantine approximation. Proc. Camb.
. (With P. Ernpds.) On sequences of positive integers. Acta Arithmetica, 2, 147-151.
. On some infinite series involving arithmetical functions. Quart. 7. Math. 8
. On primitive roots in finite fields. Quart. J. Math. 8, 308-312.
- On some infinite series involving arithmetical functions (II). Quart. 7. Math.
,
. Character sums in finite fields. Acta Mathematica, 71, 91-121.
. Minkowski’s inequality for
the minima associated with a convex body.
. A simple proof of Remak’s theorem on the product of three linear forms.
Quart. F. Math. 10, 119-121.
J. Lond. Math. Soc. 14, 47-51.
. Sur les sommes de puissances entiéres. C.R. hebd. Acad. Sci. Paris, 207, 1366-
1368,
- On sums of positive integral kth powers. Proc. Royal. Soc. Lond. A, 170, 293-299.
H. Davenport
CSAC 112/3/86
Bibliography ©
-
. On linear fractional substitutions with large determinant. Annals of Math. 41,
59-62.
. On Waring’s problem for cubes. Acta Math. 71, 123-143.
. On sums of positive integral kth powers. Amer. 7. Math. 64, 189-198.
. On Waring’s problem for fourth powers. Annals of Math. 40, 731-747.
. (With P. Erpds.) On sums of positive integral kth powers. Annals of Math. 40,
533-536.
- On Waring’s problem for fifth and sixth powers. Amer. 7. Math. 64, 199-207.
. Note on sums of fourth powers. 7. Lond. Math. Soc. 16, 3-4.
. Note on the product of three homogeneous linear forms. 7. Lond. Math. Soc. 16,
98-101.
. On a conjecture of Mordell. Proc. Camb. Phil. Soc. 37, 325-330.
. On the minimum of a binary cubic form. 7. Lond. Math. Soc. 18, 168-176.
. On the product of three homogeneous linear forms (IV). Proc. Camb. Phil. Soc.
39, 1-21.
. On the minimum of a ternary cubic form. J. Lond. Math. Soc. 1%, 13-18.
. On the minimum of X°+-7°-+- 23. 7. Lond. Math. Soc. 21, 82-86.
. On the reduction of a binary cubic form (I) J. Lond. Math. Soc. £0, 14-22.
. On the reduction of a binary cubic form (II). 7. Lond. Math. So. 20, 139-147.
. (With K. Mauter.) On simultaneous Diophantine approx mation. Duke
Math. F. 13, 105-111.
- On a theorem of Tschebotareff. 7. Lond. Math. Soc. 21, 28-34; and 24 (1949),
316.
- (With H. Heiisronn.) On indefinite quadratic forms in five variables. 7.
Lond. Math. Soc. 21, 185-193.
- On the product of n homogeneous linear forms. Proc. K. Ned. Akad. van Wet.
. Non-homogeneous binary quadratic forms. Proc.
K. Ned. Akad. van
Wet.
. On the product of three non-homogeneous linear forms. Proc. Camb. Phil. Soc.
Amsterdam, 49, 822-828.
Amsterdam, 49, 815-821.
43, 137-152.
- (With H. Hemsronn.) Asymmetric inequalities for non-homogeneous linear
. (With J. G. van per Corput.) On Minkowski’s fundamental theorem in the
geometry of numbers. Proc. K. Ned. Akad. van Wet. Amsterdam, 49, 701-707.
- (With H. Hermsronn.) On the minimum of a bilinear form. Quart. 7. Math.
. The geometry of numbers. JVature, Lond. 159, 104.
. A historical note. 7. Lond. Math. Soc. 22, 100-101.
- Non-homogeneous binary quadratic forms (II). Proc. K. Ned. Akad. van Wet.
. On indefinite ternary quadratic forms. Proc. Lond. Math. Soc. (2), 51, 145-160.
- On a theorem of Markoff. 7. Lond. Math. Soc. 22, 96-99.
. (With C. A. Rocers.) Hlawka’s theorem in the geometry of numbers. Duke
Amsterdam, 50, 741-749, 909-917.
. W. E. H. Berwick. Obituary notice. 7. Lond. Math. Soc. 21, 74-80.
- Non-homogeneous binary quadratic forms (IV). Proc. K. Ned. Akad. van Wet.
. Non-homogeneous ternary quadratic forms. Acta Math. 80, 65-95.
. Sur une extension d’un théoréme de Minkowski. C.R. hebd. Acad. Sci. Parts,
- Non-homogeneous binary quadratic forms (III). Proc. K. Ned. Akad. van Wet.
Amsterdam, 50, 378-389.
Amsterdam, 50, 484-491.
224, 990-991.
18, 107-121.
forms. 7. Lond. Math. Soc. 22, 53-61.
Math. F. 14, 367-374.
H. Davenport
CSAC 112/3/86
Biblfography ~
. The geometry of numbers (lecture given to the Math. Assoc. 9 April 1947),
Math. Gaz. 31, 206-210.
- On a theorem of Khinchine. Proc. Lond. Math. Soc. (2), 52, 65-80.
- (With G. Pérya.) On the product of two power series. Canad. 7. Math. 1, 1-5.
. Indefinite binary quadratic forms, and Euclid’s algorithm in real quadratic
fields. Proc. Lond. Math. Soc. (2), 53, 65-82.
- Note on indefinite ternary quadratic forms. 7. Lond. Math. Soc. 23, 199-202.
» (With Marsuaty Hatt.) On the equation ax*+-by-ez? = 0. Quart. J. Math.
19, 189-192.
. A divisor problem. Quart. 7. Math. 20, 37-44.
- (With H. Cuarianp.) Euclid’s algorithm in real quadratic fields. Canad. fe
Math. 2, 289-296.
. Sur les corps cubiques a discriminants négatifs. C.R. hebd. Acad. Sci. Paris, 228,
883-885.
. Euclid’s algorithm in cubic fields of negative discriminant. Acta Math. 84,
159-179.
- Indefinite binary quadratic forms. Quart. J. Math. (2), 1, 54-62.
. On the series for L(1). 7. Lond. Math. Soc. 24, 229-233,
. (With C. A. Rocers.) Diophantine inequalities with an infinity of solutior s.
Phil. Trans. Roy. Soc. Lond. A, 242, 311-344.
. (With C. A. Rocers.) A note on the geometry of numbers. J. Lond. Math. Soc.
24, 271-280.
. (With C. A. Rocers.) On the critical determinants of cylinders. Quart. 7.
Math, (2), 1, 215-218.
C.N.R.S. Paris, 24, 41-43.
27 (1952), 512°
Harvard, 1, 166-174.
J. Lond. Math. Soc. 25, 119-125.
198.
19-24,
32-41.
. Recent progress in the geometry of numbers. Proc. Internat. Congress of Math.
- (With P. Erpds.) On sequences of positive integers. 7. Indian Math. Soc. 15,
. On the class-number of binary cubic forms (II). J. Lond. Math. Soc. 26, 192-
- Study and research in mathematics. Math. Gaz. 34, 161-165.
. Waring’s problem (contribution to the obituary notice of G. H. Hardy).
. (With P. Erpds.) On normal decimals. Canad. J. Math. 4, 58-63,
- Linear forms associated with an algebraic number-field. Quart. F. Math. (2), 3,
. Euclid’s algorithm in certain quartic fields. Trans. Amer. Math. Soc. 68, 508-532.
- Note on a binary quartic form. Quart. 7. Math. (2), 1, 253-261.
- L’algorithme d’Euclide dans certains corps algébriques. Colloques Internat. du
- Sums of three positive cubes. 7. Lond. Math. Soc. 25, 339-343.
- Note on a principle of Lipschitz. 7. Lond. Math. Soc. 26, 179-183.
- On the class-number of binary cubic forms (1). 7. Lond. Math. Soc. 26, 183-192;
406-416.
- Note on a result of Chalk. Quart. 7. Math. (2), 3, 130-138.
. Prime numbers. Scientific Journal of the Royal College of Science, 21, 1-9.
. (With R.
P. BamBan.) The covering of n-dimensional space by spheres.
. The covering of space by spheres. Rend. Circolo Mat. di Palermo, Serie II,
1,
. Sur un systéme de sphéres qui recouvrent l’espace a n-dimensions. C.R. hebd.
- Simultaneous Diophantine approximation. Proc.
Lond.
Math. Soc.
(3)
sates
J. Lond. Math. Soc. 27, 224-229,
Acad. Sci. Paris, 233, 571-573.
92-107.
H. Davenport
CSAC 112/3/86
Bibliography
. (With P. Erpés.) The distribution of quadratic and higher residues. Publica-
tiones Math. (Debrecen), 2, 252-265.
. On the product of n-linear forms. Proc. Camb. Phil. Soc. 49, 190-193.
. (With G. L. Watson.) The minimal points of a positive definite quadratic
form. Mathematika, 1, 14-17.
. Simultaneous Diophantine approximation. Mathematika, 1, 51-72.
. On a theorem of Furtwangler. 7. Lond. Math. Soc. 30, 186-195.
. Simultaneous Diophantine approximation. Proc.
Internat. Congress of Math.
Amsterdam, III, 9-12.
. (With H. P. F. Swinnerton-Dyer.) Products of inhomogeneous linear forms.
Proc. Lond. Math. Soc. (3), 5, 474-499.
. (With K.
F. Roru.) The solubility of certain Diophantine inequalities.
Mathematika, 2, 81-96.
. (With K. F. Roru.) Rational approximations to algebraic numbers. Mathe-
matika, 2, 160-167.
. Le recouvrement de l’espace par des sphéres. Colloque sur la théorie des nombres
(Centre Belge des Recherches Mathématiques), pp. 139-145.
. Note on a theorem of Cassels: Proc. Camb. Phil. Soc. 53, 539-540.
. Indefinite quadratic forms in many variables. Mathematika, 3, 81-101.
. Note on irregularities of distribution. Mathematika, 3, 131-135.
. Indefinite quadratic forms in many variables II. Proc. Lond. Math. Soc. (3), 8,
109-126.
. (With B. J. Brrcu.) Quadratic equations in several variables. Proc. Camb.
Phil. Soc. 54, 135-138.
. (With B. J. Brrcu.) On a theorem of Davenport and Heilbronn. Acta. Math.
. The work of Dr K. F. Roth. Proc. Internat. Congress of Mathematicians, Edinburgh,
. (With S. CHowta.) On Weyl’s inequality and Waring’s problem for cubes.
Acta Arithmetica, 6, 505-521.
matika, 5, 8-12.
100, 259-279.
544-555.
pp. lvii-lx.
142.
. (With D. Ripout.) Indefinite quadratic forms. Proc. Lond. Math. Soc.
(3), 9,
. Dirichlet. Math. Gaz. 43, 268-269.
. Some recent progress in analytic number theory. J. Lond. Math. Soc. 35, 135-
. Cubic forms in 32 variables. Phil. Trans. Royal Soc. Lond. A, 251, 193-232.
. T. Vijayaraghavan. Obituary notice in 7. Lond. Math. Soc. 33, 252-255.
. (With B. J. Brrcu.) Indefinite quadratic forms in many variables. Mathe-
. On a theorem of P. J. Cohen. Mathematika, 7, 93-97.
. A note on binary cubic forms. Mathematika, 8, 58-62.
. Uber einige neuere Fortschritte der additiven Zahlentheorie. Jber. Deutsch.
16 variables. Proc. Royal Soc. Lond. A, 272, 285-303.
. (With B. J. Brrcx.) Note on Weyl’s inequality. Acta Arithmetica, 7, 273-277.
. (With D. J. Lewis & A. Scurzer.) Equations of the form f(x) = g(y).
A. E. Western. Obituary notice. ature, Lond. 192, 1022.
.
. A note on Diophantine approximation, Studies in Mathematical Analysis and
. Cubic forms in 29 variables. Proc. Royal Soc. London. A, 266, 287-298.
. (With B. J. Breen & D. J. Lewis.) The addition of norm forms. Wathematika,
related topics. Stanford University Press, pp. 77-81.
. Cubic forms in
Math. Vereinigung, 63, 163-169.
Quart. J. Math. (2), 12, 304-312.
9, 75-82.
H. Davenport
CSAC 112/3/86
Bibliography
(135)
(136)
(137)
(138)
(139)
(140)
(141)
(142)
(143)
(144)
(145)
(146)
(147)
(148)
1962. (With D. J. Lewrs.) Exponential sums in many variables. Amer. J. Math, 84,
649-665.
1963. (With D. J. Lewts.) Notes on congruences (I). Quart. J. Math, (2), 14, 51-60.
1963. (With D. J. Lewis.) Notes on congruences (II).
14,
Quart. 7. Math. (2),
153-159.
1963. (With D. J. Lewis.) Homogeneous additive equations. Proc. Royal Soc. Lond.
A, 274, 443-460.
1963. (With D. J. Lewis.) An analogue of a problem of Littlewood. Michigan Math.
J. 10, 157-160.
1963. A problematic identity. Mathematika, 10, 10-12.
1963. (With D. J. Lewis.) Primitive roots in finite fields. Rend. Circolo Mat. Palermo,
12, 129-136,
1963. (With P. Erpés & W. J. te Veque.) On Weyl’s criterion for uniform distribu-
tion. Michigan Math. J. 10, 311-314.
1963. (With W. J. Le Veque.) Uniform distribution relative to a fixed sequence,
Michigan Math. 7. 10, 315-319,
1964. A note on Diophantine approximation (II). Mathematika, 11, 50-58.
1964. (With D. J. Lewis & A. Scuinzet.) Polynomials of certain special types. Acta
Arithmetica, 9, 107-116.
1964. (With A. ScninzeL.) Two problems concerning polynomials. Journal fiir Math.
214-215, 386-391; and corrigendum, 218 (1965), 220.
1963. (With P,
Erpdés.)
A theorem on uniform distribution. Publ. Math. Inst.
Hungarian Acad. Sci. A, 8, 3-11.
1964, (With D. J. Lewrs.) Non-homogeneous cubic equations. 7. Lond. Math. Soc. 39,
657-671.
24, 41-48.
(153)
(154)
(155)
(156)
(157)
(158)
(159)
(160)
(161)
(162)
(163)
Math, 20, 63-64.
(149)
(149a)
(150)
(151)
(152)
equations. Amer. J. Math. 87, 684-694.
K. Norske Vid. Selskabs Forh. 38, 86-87.
parameter. Acta Arithmetica, 11, 353-358.
1965. Ona theorem of Mrs. Turan. Proc. Lond. Math. Soc. (3), 14A, 76-80.
1965. (With A. Scutyzet.) A combinatorial problem connected with differentia]
1964. L. J. Mordell. Acta Arithmetica, 9, 2-12.
1964. Publications of L. J. Mordell. Acta Arithmetica, 9, 13-22.
1966. (With E. Bomsterr.) On two problems of Mordell. Amer. F. Math, 88, 61-70.
1964. A remark on continued fractions. Michigan Math. J. 11, 343-344,
1965. (With A. Scuinze.) A note on sequences and subsequences. Elemente der
1966. Note on an irrational power series. Proc. Amer. Math. Soc. 17, 1-5.
1964. Corrigendum. Note on a principle of Lipschitz. 7. Lond. Math. Soc. 39, 580.
1966. On a theorem of Mrs Turan. II. Proc. Lond. Math. Soc. (3), 16, 570-576.
1966. (With D. J. Lewis & A. Scumzet.) Quadratic Diophantine equations with a
1965. On f*(t) —g2(t).
1965. Problems of packing and covering. Rend. Sem. Mat. Univ. e Polytec. di Torino,
1965. The London Mathematical Society. Nature, Lond. 207, 350-351.
1966. Looking back. 7. Lond. Math. Soc. 41, 1-10.
1966. (With E. Bomsterr.) Small differences between prime numbers. Proc. Royal
Lond. A, 261, 97-136.
1965. Quelques problémes d’approximation diophantienne. Rend. Sem. Mat. Milano,
1966. (With A. Scrmzet.) A note on certain arithmetical constants. Illinois 7. Math.
1967. (With A. Scunzet.) Diophantine approximation and sums of roots of unity.
1966. (With D. J. Lewrs.) Cubic equations of additive type. Phil. Trans. Royal Soc.
Math. Annalen, 169, 118-135.
(164)
(165)
(166)
(167)
Soc. Lond. A, 293, 1-18.
10, 181-185.
35, 3-8.
H. Davenport
CSAC 112/3/86
Bibliography
. (With H. Hatperstam.) The value of a trigonometrical polynomial at well
spaced points. Mathematika, 13, 91-96.
. (With D. J. Lewrs.) Notes on congruences III. Quart. 7. Math. 17, 339-344.
. (With H. HAvBerstam.) Primes in arithmetic progressions. Michigan Math. 7.
13, 485-489.
. Eine Bemerkung tiber Dirichlets L-Funktionen. Gottinger Nachrichten, pp. 203-
212,
. (With E. Bomsierr.) On the large sieve method. Abhandlungen aus Zahlentheorie
u. Anal. Zur Erinnerung an Edmund Landau (1877-1938). Berlin: VEB Deutsch.
Verlag d. Wiss. pp. 11-12.
. (With W.
M. Scumipt.) Approximation to
real numbers by quadratic
irrationals. Acta Arithmetica, 13, 169-176.
. (With E. Lanpau.) On the representation of positive integers as sums of three
cubes of positive rational numbers, Abhandlungenaus Zahlentheorie aus Anal. Zur
Erinnerung an Edmund Landau (1877-1938). Berlin: VEB Deutsch.
Verlag d.
Wiss. pp. 51-53.
. Bases for finite fields. 7. Lond. Math. Soc. 43, 21-39.
. On a theorem of Heilbronn. Quart. 7. of Math. 18,. 339-344.
. (With W. M. Scumipr.) A theorem on linear forms. Acta Arithmetica, 14,
209-223.
. A. E. Ingham. WVature, Lond. 216, 311.
. (With H. Hatserstam.) Corrigendum and addendum. Mathematika,
14,
229-232.
Royal Soc. Lond. A, 264, 557-595.
Maths. (Houston), 12, 74-98.
(168)
(169)
(170)
(171)
(172)
(173)
(174)
(175)
(176)
(177)
(178)
(179)
(180)
(181)
(182)
(183)
(184)
(185)
(186)
(187)
(188)
(189)
(190)
(191)
(192)
193)
(
(194)
(195)
Math. (2), 20, 129-137.
Acta Arithmetica, 15, 393-416.
Symposia mathematica, 4,
Academic Press, pp. 113-132.
. (With A. Baker.) The equations 3x2—2 = y? and 8x2—7 = z?. Quart. 7.
. (With W. M. Scumipt.) Approximation to real numbers by algebraic integers.
. (With W. M. Scumipt.) Dirichlet’s theorem on Diophantine approximation,
. (With D. J. Lewis.) Two additive equations. Proceedings of Symposia in Pure
. (With D. J. Lewis.) Simultaneous equations of additive type. Phil.
Trans.
Mathematica Societatis Fdnos Bolyai,
1968. Budapest and Amsterdam, pp. 15-25.
. (With W. M. Scumipt.) Dirichlet’s theorem on Diophantine approximation.
alta Mathematica. London:
Istituto Nazionale di
. A note on Thue’s theorem. Mathematika, 15, 76-87.
. (With E. Bomsrerr.) Some inequalities involving trigonometrical polynomials.
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 23 (Fasc. 2),
223-241.
. (With H. Harpersram.) Corrigendum. Michigan Math. 7. 15, 505.
. (With W. M. Scumipt.) Supplement to a theorem on linear forms. Colloquia
2. Number Theory. Debrecen, Hungary,
Acta Arithmetica. (In the press.)
A determinant of linear forms. Mathematika, 18, 100-104.
Homogeneous quadratic equations. Mathematika, 18, 1-4.
(With D. J. Lewis.) Values of positive definite forms in many variables.
. (With H. Hersronn.) On the density of discriminants of cubic fields. Bull.
A combinatorial problem connected with differential equations, II. (Edited
(With H. Hemsronn.) On the density of discriminants of cubic fields, IT.
by A. Schinzel.) Acta Arithmetica, 17, 363-372.
Proc. R. Soc. Lond. A, 322, 405-420.
II. Acta Arithmetica, 16, 413-424.
‘Lond. Math. Soc. 1, 345-348.
H. Davenport
CSAC 112/3/86
INDEX OF CORRESPONDENTS
ADAMS, A.
ADAMS, J.
F.
ADRIAN, Edgar Douglas, Baron
AITKEN, Alexander Craig
AITKEN, Sir Robert
ANKENY, Nesmith C.
ANNAN, Noél Gilroy, Baron
AP SIMON, H.
ARCHBOLD, J.
G.
W.
ARMITAGE, J. Vernon
ASHBY, Eric, Baron
ATKIN, A.
O.
AUSTING MM.
....G
Gat
G:136
Meal A 26
G.2
G.139
G.3
A.70
G.4
A.47
A.76, D.203, G.5-G.7
A.76
G.8
G.9
BATEMAN, Paul T.
BERNDT, Bruce
BAILEY, W.
N.
BAKER, Alan
BAMBAH, RR.
P.
BARNES, Eric S.
BASU; & «=
Ky
BEHREND, Felix A.
BERLOWITZ, Bernard
BESICOVITCH, Abram Samoilovitch
A.57, A.62
A.77, D.196
G.104G.12
6.39
G.14
D.90, G.15
G.16
C47
ee
G.24
GF
Ad7;.DA124Ou4 16; 8.143,
D.155, D.210-D.212, G.20,
G.92
A,42; Aeeze A.77, G18, -G.252
See also B. 57
BILLING, Gunnar
BIRCH, Bryan John
BLUNDON, W.
J.
BLANEY, Hugh
G.21-G..23
H. Davenport
CSAC 112/3/86
BOAS; RP.
Snr,
BOHR, Harald
BOLLOBAS, Béla
BOMBIERI, Enrico
Index of correspondents
G25
G.26
Ai TF).@ 27
G,26-G.39
BOSANQUET, L.
Stephen
A’. 57, A.62, Grae, G.152
BOWMAN, Frank
BOYS, Samuel Francis (Frank)
BRAGG, Sir (William) Lawrence
BRANDON, RR.
W.
BRAUER, Alfred
BRAUER, Richard
BRIUNO, Awe
Di
BROADBENT, J.
Alun A.
BROUGHTON, Arthur
BROWN, David Spencer
Mike, Jf.
BUHE, G.
A.62
G.136
A.70
G.4l
E.118, G.42
G.42
G.43
A.62, G.44
A.
Af
G
AS
G
46
G
47
BULLEN, Keith Edward
CAPILDEO, R
wu, Oe
G.48
A.
A.
A.
0.
A.
BURNABY, John
BURT, Sir Cyril
BURKILL, John Charles
BURGESS, David Albert
CASSELS, John William Scott
BUTLER, Richard Austen, Baron
/
CHALK, JohnH.
CHAMPERNOWNE, Arthur
CHANDRASEKHAR, Lalitha
CHANDRASEKHAR, Subrahmanyan
502,eee0e, Fy tb,
inbe, VAeaor
57
58
.60
A.47, A.62, A.70, A.78, G.59,
G.60
CHASES Re
ees
G.6l
H.
52-G 256
H. Davenport
CSAC 112/3/86
Index of correspondents
CHATELET, Frangois
CHATLAND, Harold
CHAUNDY, Theodore William
CHOWLA, S.
CLEMMOW?;?..”
-C.
COHEN, Paul Joseph
COHN, Harvey
COLE Ale
-,
COLLINGWOOD, Sir Edward
CONWAY, John H.
COOPER, Sir William Mansfield
CORCORAN, John P.
COULSON, Charles Alfred
COURANT, Richard
COXETER, Harold Scott MacDonald (Donald)
COXETER, Lucy
CRIDLAND, Nigel
DAVIES, Merton
DAVIS, Clive S.
DELAUNAY, B.
DERRY, Douglas
DE WITTE, Paul
de BRUIJN, N.
-G,
DAINTON, Frederick Sydney, Baron
74
78
79
80
81
63, A.79;°G. 82
79
.268
83
84, G.85
79. Didly. G. 86
DOLCIANI, Mary Patricia
DUMIR, Vishwa Chander
DUFF, Patrick William
e
e
)
>
F
O
DRAZIN, Michael
0
1
O
>
>
DIRAC, Gabriel A.
DRAIM, Nick A.
DUBREIL, Paul
DIENES, Paul
n
O
o
N
.60, G.63
66
.64-G .66
136
.67
.78, G.68, G.69
.70
aC. 71
OTE 197
.57, A.78
9
MP iA70
a
.62,.A.70,, Aaz®)..G.73-
76
a oe
a7
o
O
O
O
0
-
0
A
O
P
O
O
e
O
e
e
e
e
a
e
O
O
.
>
Q
H. Davenport
CSAC 112/3/86
DuVAL, Patrick
DYSON, Freeman John
Index of correspondents
EDDINGTON, Sir Arthur Stanley
°G:
T.
A.
EDKINS, C.
W.
EGGLESTON, A.
EICHLER, M.
ELLIOTT, Peter D.
ENNOLA, Veikko
ERDOS, Paul
ERRERA, Alfred
ESTERMANN, T.
EVANS, Benjamin Ifor, Baron
A.79, G.87
See also A.53
G.88
AZ
See B.58
M28 A389,
A.63
G.89
A.80, G.90
G.91
A.80, D.91, G.92
See also D.210
S,9e
A.80
See also G.94
G .276
EVELYN, Sir John (Jack)
Fo
at
G.
FENNA, Donald
FEW, L.
FJELLSTEDT, L.
FLANDERS, Harley
FLT; 7.
FRIEDLANDER, F.
FROHLICH, Albrecht
GILLIS, J.
GODWIN, H.
GOODSTEIN, R.
GRUNWALD, G.
GUY, Richard K.
J.
L.
H. Davenport
CSAC 112/3/86
Index of correspondents
HADAMARD, Jacques
HALBERSTAM, Heini
HALDANE, John Burdon Sanderson
HALL, Marshall
HALL, Philip
HARDY, Godfrey Harold
HASELGROVE, C.
HASSE, Helmut
BB.
HAYMAN, Walter Kurt
HEAP, A.
HEILBRONN, Hans Arnold
G.104
A: 635A, 700 ABW 0.307.
G.34, G.83, G.105
See also A.5
G.106
G.107
A.60, A.70, A.81, G.108,
G.136
See also B.71, B.72
A.39, A.42, A.52, G.109-
Gila, 62126
See aiso’B, 92, °C. 133, .C.1354,
D 200, G.117, G.217, G.249
Git
Ar8i, £.1, E.2,-G.16-C. 122
See also G.114, G 285, G.303
A.63, A.81
HODGE, Sir William (Vallance Douglas)
HODGKIN, Sir Alan (Lloyd)
HOFREITER, N.
HOLLOND, H.
A.
HIRSCH, Kurt A.
HLAWKA, Edmund
HEINHOLD, J.
HENSTOCK, Ralph
A.38
AcS7i K.63 (Ble. 68:
G.123-G. 142
See also D.39, G.110
G, 14a
G.144
A.63, A.81, G.145
A.81, G.146
G.136, G.147, G.316
A.70
G.148
A.81
G.149
G.150
A.48, A.63
G.15]
HOOLEY, Colin
HOPF, Heinz
HOWARTH, Leslie
HUA, Loo-Keng
136
E.129, £.130, G.152,.G. 158,
G .249
G.154
G.92
H. Davenport
CSAC 112/3/86
INGHAM, Albert Edward
Index of correspondents
INKERI, K.
ISRAEL, Neil
JAEGER, John
JARNIK, V.
Jeteeny,
cP.
JEFFREYS, Bertha, Lady
JENKINS, G.
M.
JONES, W. — Burton
KANAGASABAPATHY, P.
KEMMER, Nicholas
KESTELMAN, Hyman
G.160
G.161
A.82, G.162
G.163
A.82
G.164
G.165
G.166
G.167
KNAPOWSKI, S.
KOBER, Hermann
LANDAU, Edmund
LANDAU, Marianne
KHAN, Nisar Ahmed
KOSAMBI, D.
D.
KITSON CLARK, George Sidney Roberts
G.174
LEDERMANN, Walter
LEVEQUE, William J.
(Bill)
LEHMER, Dick H.
D.185
G.168
G.169
G.170
G.171
A.82
See D.184, D.185
Gi17Z,.6.173
KREISEL, G.
LANG, Serge
LEECH, John
LEHMER, Emma
LEVY, iM.
Davenport
H
CSAC 112/3/86
Index of correspondents
LEWIS, Donald J.
LIGHTHILL, Sir (Michael) James
LINFOOT, Edward Hubert
LINNIK, Yu.V.
LITTLEWOOD} D._.
E,
LITTLEWOOD, John Edensor
LOGAN, M.
LONDON MATHEMATICAL SOCIETY
McANDREW, H.
MACBEATH, Alexander Murray
McCREA, Sir William Hunter
MACK, John
MOLEOO Je
8.
MAHLER, Kurt
G.175-G. 184
A.82
A.48, A.57
A.82, G.185
G.186
A.Al, A.82, £.131, G,187
A.64
A.60, A.90, G.188, G.189
G.190
A.64, G.19]
A. 64
G.192
G.193
K..57,. A.64, A.B4.4G 194-
G.201
G. 202
A.71
G.38, G.207
MAYER, Alfred
G.203
G.204
G.205
A.83
MORDELL, Louis
Joel
MANN, Heinrich B.
A.48, D.37, G.206
MatkEK, op
SG.
ar,
MATTHEWS, K._
R.
MILNE, Edward Arthur
MARTIN, Sir David Christie
MENDELSOHN, Nathan S.
MONTGOMERY, Hugh Lowell
G .233
A.30, A.50, A.52, A. 64,
A.83; D.203, E.17, G.123,
G.203-G.232
See also A.3, G.69
MOTT, Sir Nevill Francis
MURDOCH, B.
H.
MOORRELL At
Jiao
A,
A. 64
A. 64
G.83
MUSES, C.
A.
H. Davenport
CSAC 112/3/86
Index of correspondents
NEUGEBAUER, O.
NEUMANN, Bernhard
NIVEN, Ivan
NYHOLM, Sir Ronald (Sydney)
O'BAOGHAILL, Mary
OFFORD, A.
Cyril
OLDS, Douglas
OPPENHEIM, Tan Sri Sir Alexander
Rey Hoel.
ae
ORMONDE, James Arthur Norman Butler,
6th Marquess of
OSTROWSKI, A.
PAGE, Arthur
49, A.64, A.83
geo]
238
239
-240
241
A
[oF
A
.39, A.84
PITMAN, Jane
PEDOE, ©.
B.
A
A
A
84
>
PERRON, Oskar
PHILIPP, Walter
.65, G.246
.84, G.247
A
ant
G
242
G
244
G
245
PEARSON, Egon
PARS, Leonard Alan
.65, A.71, G.243
PHILLIPS, Edgar G.
PENNINGTON, W.
POLKINGHORNE, John Charlton
POLYA, George
D.92, G.248-G.251
See also D.55
D.92, G.248-G.25]
G .252
G .253-G . 255
A.54, A.56, G.256
PYE, Sir David (Randall)
POLYA, Stella
PRASAD, A.
Vindhyachal
POPOVA, Helen
H. Davenport
CSAC 112/3/86
Index of correspondents
RADO, Peter
RADO, Richard
RAMANUJAM, CC.
P.
RANKIN, Robert A.
REE, 4:
REMAK, Robert
RENDOLE, A.
RENYI, Alfred
B
REGIER, RBiutRs
at.
RICCI, Giovanni
RICHERT, Hans-Egon
RIDOUT, D.
ROBERTS, Donald
ROBINSON, G.
de B.
ROBINSON, Raphael M.
ROBSON, R.
A.74
A.49, A.65, A.71, A.85,
G .257
G .258
A.65, G.259
6.260
G.261
G.262
A.80
G.263
G.28
G .264
E,182,.G.265
A.65
i966
D.164, G.267
A.85
ROSEN, David
SADLER, Cyril
G.279, G.280
G.281
A.85
A.49
ROYAL SOCIETY
RUMNEY, Max
ROGERS, Kenneth
ROMANOFF, N.
ROTH, Klaus Friedrich
ROGERS, Claude Ambrose
ROUGHTON, Francis John Worsley
A.85, D.41, D.207, D.210-
D.212, E.133, G.268-G.278
See also A.3, A.4, C.167,
O61; ‘G57
G .287
RUSHTON, William Albert Hugh
SAELMAN, B.
SALIE, Hans
SADLER, Donald H.
A.49
A.86, G.285
G .286
© 252,
CG; 203
A.68, D.201
G .284
A.7]
H. Davenport
CSAC 112/3/86
Index of correspondents
SAMET, Paul
SAWYER, Desmond B.
SCHERK, Peter
SCHINZEL, Andrzej
Srv, Hs
SCHMIDT oF 2
ES
K,
SCHMIDT, Wolfgang M.
SCHNEIDER, Theodor
SCHNITZER, Franz J.
SCHOENFELD, Lowell
SCHWARZ, Stefan
SEMPRE VJ
Gy
SHAW, Frank
SHOVELTON, Sydney Taverner
SIEGEL, Carl Ludwig
A.66
G.288
G.289
A.86, D.164, G.290
G.291
G.292
A.85
A.86
A.86, G.295
G.296
See also D.90
207
A.57, A.66
A.66
A.60, A.66, G.188, G.189,
G.254, G.298
G.
R.
SRINIVASAN, B.
STARK, Harold
STEEN, *S..
7: We
STOLLER, Gerald
SIERPINSKI, Waclaw
SMITH, Cedric A.B.
SMITHIES, Frank
SPENCER, D.C.
SPRENGER, E.
SPRINDZUK, V.
A.86, C.108, G.276, G.299-
G .303
A.86, G.304
A.66, G.305
A.66
G.307
G.308
G.309
G.310
G.311
A.66, G.136, G.312
A.66, G.313
G.314
A.49, A.53, A.55
A.66, A.86, D.99, E.134,
G.315
A.60, D.92, G.316
G.317
G.318
STOPFORD, John Sebastian Bach, Baron
SWINNERTON-DYER, Sir (Henry) Peter (Francis)
STEWARD, G.
C.
SZEGO, Gabor
SZ. ERERES; G.
SZELE, Tibor
H. Davenport
CSAC 112/3/86
Index of correspondents
TAT OELG, ae
co.
TAUNT, Derek
TAUSSKY-TODD, Olga
TEMPLE, George
THOMSON, Sir Joseph John
TITCHMARSH, Edward Charles
TITCHMARSH, Kathleen
TODD, John Arthur
TSCHEBOTAREFF, G.
TURAN, Paul
N.
TURAN, Vera
URSELL, Harold D.
USPENSKY, J.
V.
A.66
C52. 0° 156
A.49, A.66, G.319
A.66, A.87, G.188
A.Al
G.152, G.320
A.71
A665 JA 87, Glea> G 321
G.322
G.323
G.323
VANDIVER, H.
S.
WALD, A.
WALFISZ, Arnold
WARD, J.
VALLANCE, L.
S.
VARNAVIDES, PP.
L.
VAN DER WAERDEN, B.
L.
VAN DER POL, Balthazar
VAN DER CORPUT, Jeannet
VAN DER CORPUT, Jan G.
G.326
D.92, G.327
G.327
G.328
G.328A
G.329
A.87, D.60, G.330-G.334
A.88, G.338-G. 344
G .335, G.336
See also G. 64
WATSON, George L.
D.92
G 337
A.53
WALMSLEY, Charles
WARD, G.
W.
D.55
H. Davenport
CSAC 112/3/86
Index of correspondents
WATSON, George Neville
WHITEHART, F._
E.
WHTGUE Ys: Je
ING
WHYTE, UU.
46
WIGGLESWORTH, Laurence
WILCOCK, Bruce
WILLIAMS, W.
Lloyd G.
WINSTANLEY, Denys A.
WONHAM, W.-M.
WREN AD. ::
4.
WRIGHT, Edward Maitland
WRIGHTON, R.
F.
YOUNGS I
W.
0
.
0
Q
O
347
>
. 88
.
>
. 88
349
r
O
33
.350
88
e
aed, C
.66, A.88, G.35]
ZEEMAN, Erik Christopher
ZULAUF, Achim
ZERVOS, Spiros P.
ZYGMUND, Antoni
