Bulletin of the American Mathematical Society

MathSciNet review: 1567168
Full text of review: PDF   This review is available free of charge.
Book Information:

Authors: B. J. Birch, H. Halberstam and C. A. Rogers
Title: The collected works of Harold Davenport
Additional book information: Volumes I, II, III, and IV, Academic Press, London, New York, San Francisco, 1977, xxxiii + 1910 pp., $30.35, $29.35, $34.25, $20.35.

D. A. Burgess, On character sums and $L$-series, Proc. London Math. Soc. (3) 12 (1962), 193–206. MR 132733, DOI 10.1112/plms/s3-12.1.193

D. A. Burgess, On character sums and $L$-series. II, Proc. London Math. Soc. (3) 13 (1963), 524–536. MR 148626, DOI 10.1112/plms/s3-13.1.524

D. A. Burgess, A note on $L$-functions, J. London Math. Soc. 39 (1964), 103–108. MR 160762, DOI 10.1112/jlms/s1-39.1.103

Paul J. Cohen, On a conjecture of Littlewood and idempotent measures, Amer. J. Math. 82 (1960), 191–212. MR 133397, DOI 10.2307/2372731

5.

Th. Estermann, Acta Arith. 2 (1937), 197-211.

6.

L. K. Hua, Proc. London Math. Soc. (2) 45 (1937), 144-160.

7.

A. E. Ingham, Quarterly J. Math. 4 (1933), 278-290.

S. K. Pichorides, A lower bound for the $L^{1}$ norm of exponential sums, Mathematika 21 (1974), 155–159. MR 371831, DOI 10.1112/S0025579300008536

S. K. Pichorides, A remark on exponential sums, Bull. Amer. Math. Soc. 83 (1977), no. 2, 283–285. MR 419377, DOI 10.1090/S0002-9904-1977-14308-5

10.

C. A. Rogers, B. J. Birch, H. Halberstam, D. A. Burgess, Biographical Memoirs of Fellows of the Royal Soc. 71 (1971), 159-168.

C. A. Rogers, Harold Davenport, Bull. London Math. Soc. 4 (1972), 66–99. With contributions by B. J. Birch, H. Halberstam and D. A. Burgess. MR 302390, DOI 10.1112/blms/4.1.66

K. F. Roth, On cosine polynomials corresponding to sets of integers, Acta Arith. 24 (1973), 87–98. MR 342475, DOI 10.4064/aa-24-1-87-98

12.

H. Salié, Math. Z. 36 (1932), 263-278.

1.

D. A. Burgess, Proc. London Math. Soc. (3) 12 (1962), 193-206. MR 0132733

2.

D. A. Burgess, Proc. London Math. Soc. (3) 13 (1963), 524-536. MR 148626

3.

D. A. Burgess, J. London Math. Soc. 39 (1964), 103-108. MR 160762

4.

P. Cohen, Amer. J. Math. 82 (1960), 191-212. MR 133397

5.

Th. Estermann, Acta Arith. 2 (1937), 197-211.

6.

L. K. Hua, Proc. London Math. Soc. (2) 45 (1937), 144-160.

7.

A. E. Ingham, Quarterly J. Math. 4 (1933), 278-290.

8.

S. K. Pichorides, Mathematika 21 (1974), 155-159. MR 371831

9.

S. K. Pichorides, Bull. Amer. Math. Soc. 83 (1977), 283-285. MR 419377

10.

C. A. Rogers, B. J. Birch, H. Halberstam, D. A. Burgess, Biographical Memoirs of Fellows of the Royal Soc. 71 (1971), 159-168.

10.

C. A. Rogers, B. J. Birch, H. Halberstam, D. A. Burgess, Bull. London Math. Soc. 4 (1971), 66-74. MR 302390

11.

K. F. Roth, Acta Arith. 24 (1973), 87-98. MR 342475

12.

H. Salié, Math. Z. 36 (1932), 263-278.