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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


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

Author: George Greaves
Title: Sieves in number theory
Additional book information: Springer-Verlag, New York, 2001, xii+304 pp., ISBN 3-540-41647-1, 94.95 euros

References [Enhancements On Off] (What's this?)

[AO]
N. C. Ankeny and H. Onishi, The general sieve, Acta Arith. X (1964), 31-62. MR 0167467
[BF1]
J. Brüdern and E. Fouvry, Lagrange's Four Squares Theorem with almost prime variables, J. Reine Angew. Math. 454 (1994), 59-96. MR 1288679
[BF2]
-, Le crible à vecteurs, Compositio math. 102 (1996), 337-355. MR 1401427
[DHR]
H. Diamond, H. Halberstam and H.-E. Richert, Combinatorial Sieves of Dimension exceeding one, II, Analytic Number Theory, Proc. of a Conference in Honor of Heini Halberstam, Birkhäuser, 1996, pp. 265-308. MR 1399343
[FH]
K. Ford and H. Halberstam, The Brun-Hooley Sieve, J. Number Theory 81 (2000), 335-350. MR 1752258
[FI]
J. Friedlander and H. Iwaniec, The polynomial $X^{2}+Y^{4}$ captures its primes, Annals of Math. 148 (1998), 945-1040. MR 1670065
[FK]
K. Ford and S. Konyagin, On two conjectures of Sierpinski concerning the arithmetic functions $\sigma $ and $\phi $, Proceedings of Conference in Honor of A Schinzel, de Gruyter, Berlin (1999), 795-803. MR 1689544
[H-B1]
D. R. Heath-Brown, Almost-prime $k$-tuples, Mathematika 44 (1997), 245-266. MR 1600529
[H-B2]
-, Primes represented by $x^{3}+2y^{3}$, Acta Math. 186 (2001), 1-84.
[HR]
H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, New York/London, 1974. MR 0424730
[H1]
C. Hooley, An almost-pure sieve, Acta Arith. LXVI (1994), 359-368. MR 1288352
[H2]
-, On the intervals between numbers that are sums of two squares: IV, J. Reine Angew. Math. 452 (1994), 79-109. MR 1282197
[I]
H. Iwaniec, Almost-primes represented by quadratic polynomials, Invent. Math. 47 (1978), 171-188. MR 0485740
[JR]
W. B. Jurkat and H.-E. Richert, An improvement of Selberg's sieve method, Acta Arith. XI (1965), 217-240. MR 0202680
[Ri]
P. Ribenboim, Recent results about Fermat's Last Theorem, Expositiones Math. 5 (1987), 75-96. MR 0880258
[R]
H.-E. Richert, Selberg's sieve with weights, Mathematica 16 (1969), 1-22. MR 0246850
[S]
A. Selberg, Collected Papers, vol. II, Springer Verlag, 1991. MR 1295844

Review Information:

Reviewer: Heini Halberstam
Affiliation: University of Illinois
Email: heini@math.uiuc.edu
Journal: Bull. Amer. Math. Soc. 40 (2003), 109-119
Published electronically: October 17, 2002
Review copyright: © Copyright 2002 American Mathematical Society