Book Review
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MathSciNet review:
1567003
Full text of review:
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Book Information:
Author:
C. Hooley
Title:
Applications of sieve methods to the theory of numbers
Additional book information:
Cambridge Tracts in Mathematics, no. 70, Cambridge University Press, Cambridge, London, New York, Melbourne, 1976, xiv + 122 pp., $18.95.
Enrico Bombieri, Le grand crible dans la théorie analytique des nombres, Astérisque, No. 18, Société Mathématique de France, Paris, 1974 (French). Avec une sommaire en anglais. MR 0371840
2. E. Bombieri, The weighted sieve (to appear).
Harold Davenport, Multiplicative number theory, Lectures in Advanced Mathematics, No. 1, Markham Publishing Co., Chicago, Ill., 1967. Lectures given at the University of Michigan, Winter Term, 1966. MR 0217022
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
H. Halberstam and K. F. Roth, Sequences. Vol. I, Clarendon Press, Oxford, 1966. MR 0210679
M. N. Huxley, The distribution of prime numbers, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1972. Large sieves and zero-density theorems. MR 0444593
Hugh L. Montgomery, Topics in multiplicative number theory, Lecture Notes in Mathematics, Vol. 227, Springer-Verlag, Berlin-New York, 1971. MR 0337847
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
- 1.
- E. Bombieri, Le grand crible dans la théorie analytique des nombres, Astérisque, No. 18, Soc. Math. de France, 1974. MR 51 #8057. MR 0371840
- 2.
- E. Bombieri, The weighted sieve (to appear).
- 3.
- H. Davenport, Multiplicative number theory, Markham, Chicago, 1967. MR 36 #117. MR 217022
- 4.
- H. Halberstam and H. E. Richert, Sieve methods, Academic Press, New York, 1975. MR 424730
- 5.
- H. Halberstam and K. F. Roth, Sequences. Vol. I, Clarendon Press, Oxford, 1966. MR 35 #1565. MR 210679
- 6.
- M. N. Huxley, The distribution of prime numbers, Oxford Math. Monographs, Clarendon Press, Oxford, 1972. MR 444593
- 7.
- H. L. Montgomery, Topics in multiplicative number theory, Lecture Notes in Math., vol. 227, Springer-Verlag, Berlin and New York, 1971. MR 49 #2616. MR 337847
- 8.
- A. Selberg, Sieve methods, Proc. Sympos. Pure Math., vol. 20, Amer. Math. Soc., Providence, R.I., 1971, pp. 311-351. MR 47 #3286. MR 567686
Review Information:
Reviewer:
A. Good
Journal:
Bull. Amer. Math. Soc.
83 (1977), 1015-1021
DOI:
https://doi.org/10.1090/S0002-9904-1977-14360-7