Janus: Catalogue of the papers and correspondence of HAROLD DAVENPORT FRS; (1907

Trinity/DAVT contains:
A.1 - A.137	SECTION A BIOGRAPHICAL AND PERSONAL
B.1 - B.92	SECTION B SCHOOL AND UNIVERSITY NOTEBOOKS AND LECTURE NOTES
C.1 - C.193	SECTION C LECTURES AND ADDRESSES
D.1 - D.213	SECTION D PUBLICATIONS
E.1 - E.135	SECTION E RESEARCH NOTES AND DRAFTS
F.1 - F.17	SECTION F FACULTY OF MATHEMATICS, CAMBRIDGE
G.1 - G.373	SECTION G CORRESPONDENCE

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Catalogue of the papers and correspondence of HAROLD DAVENPORT FRS; (1907 - 1969)

Title	SECTION G CORRESPONDENCE
Reference	G.1 - G.373

Content and context

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 longhand) 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.

Trinity/DAVT/G.1 - G.373 contains:

G.1

Adams, A. Mathematical puzzles on integers.

1964

G.2

Aitken, A.C. Inequalities.

1956, 1959–60

G.3

Ankeny, N.C. Mainly on number theory.

1948–52, 1958

G.4

Ap Simon, H.G. 11pp. `Notes on a Sunday Times brain teaser'.

nd probably 1957

G.5

Armitage, J.V. General correspondence on research, appointments, publications.

1955–57

G.6

Armitage, J.V. General correspondence on research, appointments, publications.

1958–61

G.7

Armitage, J.V. General correspondence on research, appointments, publications.

1962–68

G.8

Atkin, A.O.L. Papers.

1946, 1961, 1964

G.9

Austin, M.C. Papers.

1951

G.10

Bambah, R.P. Papers.

1950–53

G.11

Bambah, R.P. Arrangements for Bambah's Fellowship at St. John's College, Cambridge; includes list of publications and draft paper on `Four Squares'.

1954

G.12

Bambah, R.P. (A letter from a pupil of Bambah on mathematical result).

1961, 1965

G.13

Barnes, E.S. Papers.

1949, 1964

G.14

Basu, S.K. Papers.

1947, 1966, 1968

G.15

Bateman, P.T. 1950 letter is re paper by R.P. Bambah (q.v.). Correspondence 1963-65 is on general research problems, appointments, publications, etc.

1950, 1963–65

G.16

Behrend, F.A. Correspondence 1939 includes curriculum vitae, testimonials, list of publications, etc.

1933–34, 1939

G.17

Berlowitz, B. Papers.

1967

G.18

Besicovitch, A.S. 1950 document is recommendation for the award of the de Morgan medal to Besicovitch (not signed).

1943, 1947–48, 1950, 1955, 1959

G.19

Billing, G. Papers.

1939, 1940, 1942, 1952

G.20

Birch, B.J. Brief correspondence only.

1959, 1966

G.21

Blaney, H. Frequent letters on results and publication.

1947, November-December

G.22

Blaney, H. Similar correspondence, includes draft paper October-December.

1948, January-July

G.23

Blaney, H. Papers.

1949, 1953–54

G.24

Blundon, W.J. Mainly publication of Blundon's papers on `multiple covering', and `packing'; includes figures.

1956–57

G.25

Boas, R.P. Jnr. Papers.

1948

G.26

Bohr, H. Davenport's publications in Acta Mathematica.

1947, 1949

G.27

Bollobás, B. Mainly arrangements for Bollobás to come to Trinity College for academic year 1963-64 and including Davenport's recommendation and `account of studies' during year at Cambridge.

1963–65, 1967

G.28

Bombieri, E. and others. Includes Davenport's report on Bombieri's work in Cambridge 1963-64 and arrangements for Davenport to lecture in Milan.

1963–64

G.29

Bombieri, E. and others. Correspondence, notes and calculations; includes draft paper by Bombieri on `The Statistical theory of Dirichlet L-functions'.

1965, January-July

G.30

Bombieri, E. and others. Correspondence and drafts on primes paper (published Proc.Roy.Soc. A, 1966).

1965, August

G.31

Bombieri, E. and others. `Small differences of primes', two ms. drafts, one each by Davenport and Bombieri, related to correspondence.

1965, August

G.32

Bombieri, E. and others. Continuing correspondence and drafts, on `prime numbers' paper and on `large sieve' paper (published 1968, see G.38).

1965, September-December

G.33

Bombieri, E. and others. Papers.

1966, January-April

G.34

Bombieri, E. and others. Includes letter from H. Halberstam.

1966, June-September

G.35

Bombieri, E. and others. Mainly on sieve paper.

1966, October-December

G.36

Bombieri, E. and others. Extensive notes by Davenport kept with 1966 correspondence.

G.37

Bombieri, E. and others. Includes revised version of `large sieve method' July, and correspondence on polynomials (leading up to collaborative paper published in 1969.).

1967

G.38

Bombieri, E. and others. Includes arrangements re publication of `large sieve' paper, and a 7pp. ms. by Davenport `The case small', and letters of comment.

1968, January-July

G.39

Bombieri, E. and others. Also includes press-cutting re award to Bombieri of the Fields medal at International Mathematical Congress, Vancouver, 1974.

1969

G.40

Bosanquet, L.S. Papers.

1948, 1949

G.41

Brandon, R.W. Papers.

1953

G.42

Brauer, A. 1931, and Brauer, R. Papers.

1953

G.43

Brjuno, A.D. Papers.

1966

G.44

Broadbent, A. Papers.

1963

G.45

Brown, D.S. 4-colour problem.

1965

G.46

Buckell, J.F. Four Square Representation.

1965

G.47

Buhl, G. Papers.

1954

G.48

Bullen, K.E. Papers.

1934

G.49

Burgess, D.A. Correspondence on `character sums'.

1963, 1965, 1968

G.50

Burt, C. Printing of journals and especially Mathematika.

1954

G.51

Capildeo, R. One letter only.

1961

G.52

Cassels, J.W.S. General correspondence on research and publications.

November-December 1946, 1947

G.53

Cassels, J.W.S. General correspondence on research and publications.

1948, 1949, 1951

G.54

Cassels, J.W.S. General correspondence on research and publications.

1954, 1955, 1956

G.55

Cassels, J.W.S. General correspondence on research and publications.

1963, 1969

G.56

Cassels, J.W.S. General correspondence on research and publications. Includes sequences of ms. notes by Cassels, perhaps 1950s, and contents list of proposed book by him titled `An introduction to the geometry of numbers'.

Undated

G.57

Chalk, J.H.H. Letter of 1947 is addressed to C.A. Rogers.

1947, 1950, 1969

G.58

Champernowne, A. Papers.

G.59

Chandrasekhar, S. On functional equations; also includes some personal news.

1946–48

G.60

Chandrasekhar, S. Papers.

1964

G.61

Chase, R.E. Proof of unique factorisation.

1962

G.62

Châtelet, F. Papers.

1946

G.63

Chatland, H. Mainly on collaborative paper (Bibliog. 74).

1948–49

G.64

Chowla, S. The surviving correspondence is sporadic and does not include any of Davenport's replies. Includes testimonials for Chowla from J.E. Littlewood and G.H. Hardy. Letter of 16 February 1933 has a ms. note `Chowla to Walfisz' (see G.335). Some of the undated material may be from Chowla's earlier period at Cambridge.

1933–34 and nd

G.65

Chowla, S. The surviving correspondence is sporadic and does not include any of Davenport's replies.

1947–49

G.66

Chowla, S. The surviving correspondence is sporadic and does not include any of Davenport's replies. Mainly re collaborative paper (Bibliog. 124), 1962, 1963.

1958–60

G.67

Cohen, P.J. Research and publications.

1959, 1960, 1965

G.68

Cohn, H. Research and recommendations.

1948–54

G.69

Cohn, H. Mainly re proposed 75th birthday symposium for L.J. Mordell.

1960–62

G.70

Cole, A.J. Mainly re thesis.

1952–53

G.71

Collingwood, E. Centenary of London Mathematical Society; includes reprint of article on subject by Collingwood.

1965

G.72

Courant, R. Early correspondence is from Göttingen, with news of German mathematicians. Courant left for America in August 1934. Later correspondence is renewing contact after the war.

1934, 1945, 1947

G.73

Coxeter, H.M.S. An undergraduate friend of Davenport at Cambridge, using his youthful nickname of `Dave' in the letter of 1928 and signing his own letters `Donald'. Includes some personal news as well as mathematical research. (From Coxeter's mother), Includes 3pp. `Prop' by Coxeter. 1932.

1928, 1929, 1932, 1935

G.74

1939

G.75

1945–48

G.76

1951–53, 1958-59

G.77

Cridland, N. Packing of small circles. Enquiry originally addressed to S.T. Shovelton and passed on by him to Davenport.

1954–56

G.78

Davies, M. On his visit to Stanford.

1947

G.79

Davis, C.S. Papers.

1945, 1949, 1955

G.80

De Bruijn, N.G. Correspondence 1951-52 is re suitable prize problem for Amsterdam Mathematical Society.

1951–52, 1955

G.81

Delaunay, B. Papers.

1963

G.82

Derry, D. Minkowski's work.

1938

G.83

Dirac, G.A. and others. Papers.

1964–65

G.84

Dolciani, M.P. Arrangements to spend sabbatical leave working with Davenport on theory of numbers.

G.85

Dolciani, M.P. Miscellaneous ms. notes and drafts.

G.86

Draim, N.A. Various dates.

1950–65

G.87

DuVal, P. One letter only, from Princeton. Mainly mathematical but refers to J. von Neumann's proposed visit to Cambridge.

1935

G.88

Dyson, F.J. Includes laudatory report by Davenport on `fellowship thesis by F.J. Dyson: "Two problems in the theory of numbers".'.

1942, 1946

G.89

Eichler, M. One letter only.

1962

G.90

Elliott, P.D.T.A. Papers.

1966

G.91

Ennola, V. Research, draft paper on lattice constants.

1957–59

G.92

Erdös, P. Although Erdös and Davenport collaborated on many publications 1936-63, the surviving correspondence is very meagre and is mainly from Erdös on various mathematical discoveries. Correspondence 1960 is enquiry re Erdös's problem on sets of congruences.

1934, 1960, 1961–65, 1969

G.93

Errera, A. Papers.

1953, 1955

G.94

Estermann, T. Davenport's ms. letter only.

1949

G.95

Evelyn, J. Papers.

1950, 1960

G.96

Fenna, D. Paper on `Simultaneous diophantine approximation to series'.

1958

G.97

Fjellstedt, L. Davenport's carbon only, on a paper by Fjellstedt.

1956

G.98

Flanders, H. Papers.

1969

G.99

Flett, T.M. Papers.

1949–50

G.100

Godwin, H.J. Davenport's unpublished 1938 work on inhomogeneous linear forms.

1955

G.101

Goodstein, R.L. Appreciation of Davenport's paper `Study and research in mathematics' (Bibliog. 85).

1950

G.102

Grünwald, G. Papers.

1939

G.103

Guy, R.K. Papers.

1958, 1964

G.104

Hadamard, J. Brief exchanges only.

1947, 1952, nd

G.105

Halberstam, H. Research, publications, appointments.

1957, 1962–68

G.106

Haldane, J.B.S. One letter only, on an inequality, with 1p. attached calculations by Davenport headed `Haldane'.

1952

G.107

Hall, M. General correspondence on research and publications, including collaborative paper (Bibliog. 72).

1947–48, 1958

G.108

Hall, P. One letter only.

1965

G.109

1938, 1939

G.110

Hardy, G.H. 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. Appeal on behalf of H. Heilbronn.

1940

G.111

1941, nd

G.112

1944, May-December and undated

G.113

1944

G.114

1945, 1946, 1947

G.115

Haselgrove, C.B. One letter only, on mathematical tables.

1960

G.116

Hasse, H. Hasse's 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.

1932, November, December

G.117

Hasse, H. Hasse's 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. Letter of 20 January has a ms. note by G.H. Hardy.

1933, January-June

G.118

1933, July-December

G.119

1934

G.120

Hasse, H. Hasse's 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.

1935

G.121

Hasse, H. Hasse's 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.

1936, 1938, 1939

G.122

1946, 1947, 1949, 1952, 1963, 1967

G.123

Heilbronn, H.A. and others. Includes a letter from L.J. Mordell; 1935 (card only, `re Heilbronn's acceptance of Bevan Fellowship at Trinity).

1934

G.124

Heilbronn, H.A. and others. Two letters only.

1939

G.125

Heilbronn, H.A. and others. Includes correspondence re internment, Heilbronn's family affairs, release and service in army.

1940

G.126

Heilbronn, H.A. and others. Includes undated letter from G.H. Hardy re help for Heilbronn's parents, tentatively dated 1943 by Mrs. Davenport.

1946

G.127

Heilbronn, H.A. and others. Research, publications (Bibliog. 54).

1947

G.128

Heilbronn, H.A. and others. Papers.

1948

G.129

Heilbronn, H.A. and others. Papers.

1949

G.130

Heilbronn, H.A. and others. Papers.

1950

G.131

Heilbronn, H.A. and others. Includes various notes and drafts and a `Rough draft' for a paper `On cubic fields' by Davenport.

1951–54

G.132

Heilbronn, H.A. and others. Research, publications, appointments.

1955–58

G.133

Heilbronn, H.A. and others. Heilbronn's letter to A.U.T., December 1959, headed `University expansion. Quantity or quality'.

1959

G.134

Heilbronn, H.A. and others. Includes draft letter and memorandum to Chairman, U.G.C. (Sir Keith, later Lord, Murray) and draft questionnaire.

1960

G.135

Heilbronn, H.A. and others. Material re `Questionnaire on recruitment of university teachers in mathematics' circulated April 1960 by Heilbronn and Davenport.

1960

G.136

Heilbronn, H.A. and others. Replies and information from colleagues in Cambridge, sent to Davenport in answer to questionnaire.

1960 May

G.137

Heilbronn, H.A. and others. Tables of results and information, and continuing correspondence, including a little on affairs of L.M.S.

1960, May

G.138

Heilbronn, H.A. and others. Mainly re `Second Memorandum' on university expansion, to be sent to U.G.C.

1960, June-July

G.139

Heilbronn, H.A. and others. Correspondence re proposed conference on shortage of teachers of mathematics. Davenport was asked to chair the conference but declined because of his views on university expansion. (Correspondence kept with the Heilbronn material.).

1960, June-July

G.140

Heilbronn, H.A. and others. Miscellaneous notes and drafts for `Second Memorandum', `Notes on the questionnaire', etc.

1960

G.141

Heilbronn, H.A. and others. Papers.

1962–63

G.142

Heilbronn, H.A. and others. Brief correspondence only.

1964, 1965, 1967

G.143

Heinhold, J. Papers.

1948

G.144

Henstock, R. Papers.

1963

G.145

Hirsch, K.A. Papers.

1952

G.146

Hlawka, E. General correspondence on research and publications, and some personal. Includes (1963) humorous poem `To Professor Mordell on arrival to the city of Vienna'.

1948, 1952–56, 1962, 1963

G.147

Hodge, W.D.V. Correspondence 1954 is re P. Erdös.

1954, 1965

G.148

Hofreiter, N. Papers.

1951

G.149

Hooley, C. Papers.

1963, 1965

G.150

Hopf, H. Papers.

1955, 1958

G.151

Hua, L-K. Papers.

1939, 1940, 1949, 1964

G.152

Ingham, A.E. and others. Correspondence with Ingham and others re volume of essays on G.H. Hardy.

1950

G.153

Ingham, A.E. and others. Papers.

1950, 1954, 1956, 1960, 1963

G.154

Inkeri, K. Quadratic forms.

1948–49

G.155

Jaeger, J.C. Early letters are addressed to `Dave'.

1936–44

G.156

Jaeger, J.C. Early letters are addressed to `Dave'.

1945–48

G.157

Jaeger, J.C. Early letters are addressed to `Dave'.

1950, 1957

G.158

Jarnik, V. Renewing contact with UK colleagues.

1946

G.159

Jenkins, G.M. Papers.

1961

G.160

Kanagasabapathy, P. Research and publications.

1951–52, 1962-63, 1968

G.161

Kemmer, N. On `Physics teaching in Britain'.

1956

G.162

Kestelman, H. Letters to Davenport in California, with news of UCL and Britain.

1947, 1948

G.163

Khan, N.A. Papers.

1954

G.164

Knapowski, S. Polish research student at Cambridge.

1959, 1963, 1966

G.165

Kober, H. A German refugee mathematician. Correspondence 1930s is from Breslau, correspondence 1942 from Birmingham.

1934–35 and undated, 1942

G.166

Kosambi, D.D. Papers.

1961

G.167

Kreisel, G. Papers.

1958

G.168

Lang, S. Comments on Davenport's research notes and publications.

1963–64

G.169

Ledermann, W. Includes 6pp. ms. note by Davenport `A question concerning quadratic forms'.

1958

G.170

Leech, J. Papers.

1958

G.171

Lehmer, D.H. Papers.

1948

G.172

LeVeque, W.J. Correspondence on proposed `Compilation of a Topical History of the Theory of Numbers'. Includes draft proposal, report (not favourable) of American Mathematical Society Committee, Davenport's draft comments, etc.

1961

G.173

LeVeque, W.J. Includes 6pp. ms. note by Davenport, `On Weyl's criterion for uniform distribution' later published jointly with LeVeque and Erdös (Bibliog. 142) and a related note by LeVeque on Weyl's criterion.

1963

G.174

Levy, M. Delay lines.

1950

G.175

Lewis, D.J. Much of the correspondence reflects their friendly and hospitable relationship as well as research, visits and publications, and general news of the mathematical scene. A little correspondence from Carolyn Lewis is included. (Bibliog. 116).

1957–58

G.176

1959–60

G.177

1961

G.178

1962

G.179

1963

G.180

1964

G.181

1965

G.182

1966

G.183

1967

G.184

1968

G.185

Linnik, Yu. V. (Not all dated). General correspondence, including Russian translation of Davenport's Multiplicative number theory.

1950–69

G.186

Littlewood, D.E. Papers.

1952–53, 1955

G.187

Littlewood, J.E. Card only.

1931

G.188

London Mathematical Society. Correspondence and papers November 1952-January 1953 re finances, publishing policy, etc., with Treasurer of the Society, Royal Society, colleagues, etc. Correspondence, notes for meetings.

1952–1953

G.189

1952–1953

G.190

McAndrew, H. Papers.

1959

G.191

Macbeath, A.M. Papers.

G.192

Mack, J. Papers.

1963

G.193

McLeod, J.B. Papers.

1963

G.194

Mahler, K. (One letter only, from Isle of Man where Mahler was interned).

1933–34, 1940

G.195

Mahler, K. (Bibliog. 47).

Mahler, a refugee German mathematician, was a colleague of Davenport at Manchester

G.196

Mahler, K. Papers.

1947–49

G.197

Mahler, K. Papers.

1950–51, 1953

G.198

Mahler, K. Includes some reference to the founding of, and papers for, Mathematika.

1954–55

G.199

Mahler, K. Papers.

1956–57

G.200

Mahler, K. Papers.

1958–59, 1961

G.201

Mahler, K. Letter of 4 March 1963 announces Mahler's decision to accept research chair at Australian National University, Canberra. 1967 (one letter only).

1962–63, 1967

G.202

Mann, H.B. Papers.

G.203

Matthews, K.R. Papers.

1963–66

G.204

Mayer, A. Thanking Davenport for help with publication.

1950

G.205

Mendelsohn, N.S. Papers.

1949

G.206

Milne, E.A. 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.

1926–27, 1945

G.207

Montgomery, H.L. Papers.

1969

G.208

Mordell, L.J. 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. 1927 (re award of Derby Scholarship to assist Davenport at Trinity), 1929 (suggestions for reading and research; Mordell sent his draft papers to the young Davenport for comment).

1927–1929

G.209

Mordell, L.J. 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. Letter of 27 November suggests Davenport should take up the `splendid opportunity' to go to Marburg to work with and teach English to Hasse.

1930

G.210

1931

G.211

1932–33

G.212

1934, 1935

G.213

1936, 1938, 1939

G.214

1942, 1943, 1944

G.215

Mordell, L.J. Papers.

1945, 1946

G.216

1947, 1948

G.217

1949

G.218

Mordell, L.J. Papers.

1950

G.219

1951

G.220

1952

G.221

1953

G.222

1954

G.223

1955

G.224

1956

G.225

1957

G.226

1958

G.227

Mordell, L.J. Papers.

1959

G.228

Mordell, L.J. 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. (1961 includes draft paper by Mordell `On a Pellian Equation Conjecture', and a 2pp. untitled ms. note by Davenport).

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. The Manchester school of mathematics was particularly strong in the 1930s, and included several refugee mathematicians; Davenport also joined it as Assistant Lecturer in 1937. Mordell succeeded Hardy in the Sadleirian Chair at Cambridge 1945–53 and remained in contact with Cambridge mathematics until his death in 1972. Davenport was among his closest friends. Mordell recognised his quality from a very early stage

G.229

1962

G.230

1963, 1964

G.231

1965

G.232

1967, 1968

G.233

Muses, C.A. Papers.

1959

G.234

Neugebauer, O. Papers.

1938

G.235

Niven, I. Papers.

1956

G.236

O'Baoghaill, M. Triangle of minimum area.

1954

G.237

Olds, D. Papers.

1958

G.238

Oppenheim, A. Correspondence and research notes, mainly on quadratic forms, also on new University of Malaya, Singapore.

1946–52

G.239

Orde, H.L.S. Prime factors of a large number.

1958

G.240

Ormonde, Marquess of. Equations in high numbers, with 2pp. draft reply.

1959

G.241

Ostrowski, A. `Schubfachprinzip'.

1958

G.242

Pedoe, D. Papers.

1954–56

G.243

Pennington, W.B. Includes 11pp. draft paper by Pennington `On Widder's inversion formula'.

1960

G.244

Perron, O. Papers.

1946

G.245

Philipp, W. Littlewood's problem.

1964

G.246

Phillips, E G. Papers.

1951

G.247

Pitman, J. Research, appointments. Includes material made available by B.J. Birch: research notes on `Cubic Problem', 4pp. note by Davenport on `A Theorem of Rado' and 7pp. ms. draft by Davenport on `Miss Pitman's simplification' of Bibliog. 119.

1962, 1965 and nd

G.248

Pólya, G and Pólya, S. Papers.

1947–48

G.249

Pólya, G and Pólya, S. Includes letter (7 May) from A.E. Ingham re G.H. Hardy.

1949

G.250

Pólya, G and Pólya, S. Includes (November 1950) reference to Davenport's decision not to accept permanent post at Stanford.

1950–51

G.251

Pólya, G and Pólya, S. Various dates, shorter exchanges.

Davenport and his wife made the acquaintance of George and Stella Pólya on their Stanford visit 1947–48, and remained lifelong friends

G.252

Popova, H. Includes draft research papers by Popova and correspondence from A.S. Besicovitch.

1952

G.253

Prasad, A.V. Papers.

1946–50

G.254

Prasad, A.V. Papers.

1952, 1954

G.255

Prasad, A.V. (Re thesis).

1955, 1968

G.256

Pye, D.R. Papers.

1947

G.257

Rado, R. Various dates. His letter to Davenport on his appointment to the Chair of Pure Mathematics at Reading in 1954 expresses his gratitude for Davenport's consistent support.

1934–68

G.258

Ramanujam, C.P. Papers.

1962, 1965

G.259

Rankin, R. Various dates.

1950–63

G.260

Redei, L. Papers.

1949, 1953, 1959

G.261

Remak, R. Papers.

1938

G.262

Rendle, A.B. Comments on paper.

1954

G.263

Reuter, G.E.H. Papers.

G.264

Richert, H-E. Papers.

1954

G.265

Ridout, D. Papers.

1958, 1959

G.266

Robinson, G. de B. Invitation to contribute a book on number theory to new series `Mathematical Expositions'.

1941

G.267

Robinson, R.M. Minkowski's results on packing of tetrahedra. Includes comments by J.W.S. Cassels.

1959–60

G.268

Rogers, C.A. and others. Appointment as Demonstrator at UCL, 1946 (one letter only).

1945

G.269

Rogers, C.A. and others. Frequent reports on research and departmental news, sent to Davenport in USA.

1947

G.270

Rogers, C.A. and others. Departmental news, research, publications (Bibliog. 70, 71, 73, 79).

1948

G.271

Rogers, C.A. and others. Includes research notes by Rogers `On theorems of Markoff, Hurwitz and Segre' and `Non-homogeneous quadratic forms'.

1949

G.272

Rogers, C.A. and others. (Bibliog. 81).

1950

G.273

Rogers, C.A. and others. (Davenport's carbon only), 1954 (research, appointments, includes note by Davenport for Nature on Rogers's appointment to Chair at Birmingham).

1952, 1953

G.274

Rogers, C.A. and others. Papers.

1955

G.275

Rogers, C.A. and others. Papers.

1956, 1957

G.276

Rogers, C.A. and others. Appointment at UCL.

1958

G.277

Rogers, C.A. and others. Includes correspondence with R.F. Wrighton on packing of spheres, 6pp. note by Davenport on the problem and comments by Rogers.

1964

G.278

Rogers, C.A. and others. Papers.

1965, 1969

G.279

Rogers, K. Includes research note by Rogers `The inhomogeneous minima of indefinite Hermitian forms'.

1951, 1953

G.280

Rogers, K. Papers.

1954–55, 1963, 1964

G.281

Romanoff, N. Papers.

1935, 1937

G.282

Roth, K.F. Includes 4pp. ms. note `On certain sets of integers' (shortened version prepared by Davenport of a paper by Roth) and French translation by Davenport.

1951

G.283

Roth, K.F. Papers.

1954, 1956–57, 1964, 1965

G.284

Rumney, M. Papers.

1947, 1964

G.285

Sadler, D.H. Card of 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.

1928, 1940–46

G.286

Saelman, B. Problem in elliptic integrals.

1952

G.287

Salié, H. Papers.

1931, 1933

G.288

Sawyer, D.B. Papers.

1957, 1961

G.289

Scherk, P. Theorem on addition of residue classes.

1951

G.290

Schinzel, A. Papers.

1962, 1966–69

G.291

Schmid, H.L. Papers.

1937

G.292

Schmidt, F.K. Papers.

1960

G.293

Schmidt, W.M. Correspondence, mainly on publications (Bibliog. 173, 183, 185, 188).

G.294

Schmidt, W.M. Ms. drafts by Davenport for work with Schmidt, 4pp. and 20pp.

G.295

Schnitzer, F. Various research problems.

1952–57

G.296

Schoenfeld, L. Large sieve problem.

1967

G.297

Schwarz, S. Papers.

1947

G.298

Shovelton, S.T. Papers.

1956

G.299

Siegel, C.L. (letter of 16 July includes suggestion that Siegel and Davenport should meet in Denmark in March 1940, referred to in the recollections).

1938, 1939

G.300

Siegel, C.L. (from Princeton).

1941, 1942 , 1954–57, 1964

G.301

Siegel, C.L. Correspondence and arrangements re Gauss Professorship for Davenport at Göttingen, May-July 1966. Includes notices of lectures and draft in German of Bibliog. 171.

1965–66

G.302

Siegel, C.L. Papers.

1966–68

G.303

Siegel, C.L. Of special interest is 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 Göttingen as Gauss Professor (see G.301). Siegel's recollections. These are ms. accounts in Davenport's hand: `Siegel', 5pp. dated 20 and 22 July 1966; `Siegel', 5pp. dated 26 July 1966; `Siegel At Kneser's', 5pp. dated 27 July 1966.

1966

G.304

Sierpinski, W. Mainly re publications in Acta Arithmetica, including Bibliog. 149.

1959, 1963, 1964

G.305

Smith, C.A.B. Papers.

1951

G.306

Smith, G.S. Research problems and notes, mainly fractions for irrational numbers.

1953, 1955

G.307

Spencer, D.C. Includes comment by J.W.S. Cassels.

1959

G.308

Sprenger, E. Paper on `Odd numbers', redrafted by Davenport.

1953

G.309

Sprinzuk, V.G. Papers.

1967, 1969

G.310

Srinivasan, B.R. Papers.

1962

G.311

Stark, H. Papers.

1966–67

G.312

Steen, S.W.P. Research note.

G.313

Steward, G.C. Translation of a Russian paper by Kotelnikoff.

1952

G.314

Stoller, G. Waring's problem.

1960

G.315

Swinnerton-Dyer, H.P.F. Correspondence, research notes and problems (not all dated) including collaborative paper (Bibliog. 107).

1953–57

G.316

Szegö, G. Correspondence 1956 includes letters re symposia at 1958 Congress and a memorandum by S. Bergman on complex variables.

1948–49, 1956

G.317

Szekeres, G. Papers.

1958

G.318

Szele, T. Includes research note on `Davenport's theorem'.

1951

G.319

Taussky-Todd, O. Papers.

1950, 1957

G.320

Titchmarsh, E.C. One letter only.

1957

G.321

Todd, J.A. Papers.

1945

G.322

Tschebotareff, G.N. Re recent death of his father.

1955

G.323

Turán, P. and Turán, V. Research and publications, including contributions to memorial volume for E. Landau (Bibliog. 172).

1934, 1947, 1964–67

G.324

Ursell, H.D. Papers.

1969

G.325

Uspensky, J.V. Papers.

1947

G.326

Vallance, L.S. Papers.

1955–57

G.327

Van der Corput, J.G. and van der Corput, J. Visits, publications, research. Includes a little personal correspondence.

1946–48, 1952-53, 1961

G.328

Van der Pol, B. Papers.

1953

G.328A

Van der Waerden, B.L. Comments on draft papers by Davenport.

1932–33

G.329

Vandiver, H.S. Papers.

1949

G.330

Varnavides, P.L. The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides.

1947–48

G.331

Varnavides, P.L. The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides.

1950–51

G.332

Varnavides, P.L. The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides.

1952–54

G.333

Varnavides, P.L. The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides. Includes various drafts of papers on quadratic forms.

1955–56

G.334

Varnavides, P.L. The correspondence is mainly on research and publications and includes drafts of papers submitted by Varnavides.

1957, 1959–60

G.335

Walfisz, A. Pre-war correspondence is from Rados^vc^v; post-war correspondence is from Tiflis. 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.

1930, 1931, 1932–33, 1936

G.336

Walfisz, A. Pre-war correspondence is from Rados^vc^v; post-war correspondence is from Tiflis. Brief correspondence, mainly on exchange of reprints.

1949, 1954, 1956–57

G.337

Ward, G.W. Contemporary of Davenport at Trinity.

1964

G.338

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers.

1950

G.339

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers.

1951

G.340

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers. Includes research note.

1952

G.341

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers. Includes drafts, etc. for collaborative paper (Bibliog. 103), and other research notes.

1953

G.342

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers. (Includes drafts for papers and research notes).

1954, 1955

G.343

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers.

1956, 1957, 1958

G.344

Watson, G.L. Despite the paucity of letters from Davenport, the correspondence gives a full account of research, publications and career and includes several draft papers. Includes draft papers, and 5pp. ms. draft for part of Bibliog. 119.

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

G.345

Watson, G.N. 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.

1933, 1945

G.346

Whitehart, F.E. Elementary proof of the prime number theorem.

1950

G.347

Whiteley, J.N. Research and publications, including draft papers. Few letters dated.

c1959–60

G.348

Whyte, L.L. Correspondence and notes re points on a sphere.

1949, 1952

G.349

Williams, W.L.G. Invitation to Davenport to a Chair at McGill.