Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1566613
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
K. Chandrasekharan
Title:
Introduction to analytic number theory
Additional book information:
Springer, 1968.
Author:
K. Chandrasekharan
Title:
Arithmetic functions
Additional book information:
Springer, 1970.
Author:
Harold Davenport
Title:
Multiplicative number theory
Additional book information:
Markham, 1967.
Authors:
H. Halberstam and
K. F. Roth
Title:
Sequences
Additional book information:
Oxford University Press, 1966.
1. E. Bombieri, Davenport memorial volume of Acta Arithmetica (to appear).
E. Bombieri and H. Davenport, On the large sieve method, Number Theory and Analysis (Papers in Honor of Edmund Landau), Plenum, New York, 1969, pp. 9–22. MR 0260703
P. X. Gallagher, The large sieve, Mathematika 14 (1967), 14–20. MR 214562, DOI 10.1112/S0025579300007968
P. X. Gallagher, Bombieri’s mean value theorem, Mathematika 15 (1968), 1–6. MR 237442, DOI 10.1112/S002557930000231X
Heini Halberstam, Wolfgang Jurkat, and Hans-Egon Richert, Un nouveau résultat de la méthode du crible, C. R. Acad. Sci. Paris Sér. A-B 264 (1967), A920–A923 (French). MR 223326
H. Halberstam and H.-E. Richert, Sieve methods, London Mathematical Society Monographs, No. 4, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1974. MR 0424730
M. N. Huxley, The large sieve inequality for algebraic number fields, Mathematika 15 (1968), 178–187. MR 237455, DOI 10.1112/S0025579300002540
H. L. Montgomery, Mean and large values of Dirichlet polynomials, Invent. Math. 8 (1969), 334–345. MR 268130, DOI 10.1007/BF01404637
H. L. Montgomery, Zeros of $L$-functions, Invent. Math. 8 (1969), 346–354. MR 249375, DOI 10.1007/BF01404638
H. L. Montgomery, Primes in arithmetic progressions, Michigan Math. J. 17 (1970), 33–39. MR 257005
H.-E. Richert, Selberg’s sieve with weights, Mathematika 16 (1969), 1–22. MR 246850, DOI 10.1112/S0025579300004563
H.-E. Richert, Selberg’s sieve with weights, 1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969) Amer. Math. Soc., Providence, R.I., 1971, pp. 287–310. MR 0318083
Werner Schaal, On the large sieve method in algebraic number fields, J. Number Theory 2 (1970), 249–270. MR 272745, DOI 10.1016/0022-314X(70)90052-1
Atle Selberg, Sieve methods, 1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969) Amer. Math. Soc., Providence, R.I., 1971, pp. 311–351. MR 0567686
Robin J. Wilson, The large sieve in algebraic number fields, Mathematika 16 (1969), 189–204. MR 263774, DOI 10.1112/S0025579300008160
- 1.
- E. Bombieri, Davenport memorial volume of Acta Arithmetica (to appear).
- 2.
- E. Bombieri and H. Davenport, On the large sieve method, Number Theory and Analysis (Papers in Honor of Edmund Landau), Plenum Press, New York, 1969, pp. 9-22. MR 41 #5327. MR 0260703
- 3.
- P. X. Gallagher, The large sieve, Mathematika 14 (1967), 14-20. MR 35 #5411. MR 214562
- 4.
- P. X. Gallagher, Bombieri's mean value theorem, Mathematika 15 (1968), 1-6. MR 38 #5724. MR 237442
- 5.
- Heini Halberstam, Wolfgang Jurkat and Hans-Egon Richert, Un nouveau résultat de la méthode du crible, C. R. Acad. Sci. Paris Sér. A-B 264 (1967), A920-A923. MR 223326
- 6.
- H. Halberstam and H.-E, Richert, Sieve methods, Markham, Chicago (to appear). MR 424730
- 7.
- M. N. Huxley, The large sieve inequality for algebraic number fields, Mathematika 15 (1968), 178-187. MR 38 #5737. MR 237455
- 8.
- H. L. Montgomery, Mean and large values of Dirichlet polynomials, Invent. Math. 8 (1969), 334- 345. MR 268130
- 9.
- H. L. Montgomery, Zeros of L-functions, Invent. Math. 8 (1969), 346-354. MR 40 #2620. MR 249375
- 10.
- H. L. Montgomery, Primes in arithmetic progressions, Michigan Math. J. 17 (1970), 33-39. MR 41 #1660. MR 257005
- 11.
- H.-E. Richert, Selberg's sieve with weights, Mathematika 16 (1969), 1-22. MR 40 #119. MR 246850
- 12.
- H.-E. Richert, Selberg's sieve with weights, Proc. Sympos. Pure Math., vol. 20, Amer. Math. Soc., Providence, R.I., 1971, pp. 287-310. MR 318083
- 13.
- Werner Schaal, On the large sieve method in algebraic number fields, J. Number Theory 2 (1970), 249-270. MR 272745
- 14.
- Atle Selberg, Sieve methods, Proc. Sympos. Pure Math., vol. 20, Amer. Math. Soc., Providence, R.I., 1971, pp. 311-351. MR 567686
- 15.
- R. J. Wilson, The large sieve in algebraic number fields, Mathematika 16 (1969), 189-204. MR 263774
Review Information:
Reviewer:
H. M. Stark
Journal:
Bull. Amer. Math. Soc.
77 (1971), 943-957
DOI:
https://doi.org/10.1090/S0002-9904-1971-12812-4