Sieve Methods, Exponential Sums, and their Applications in Number Theory

Table of Contents

1. The exceptional set for Goldbach's problem in short intervals R. C. Baker, G. Harman and J. Pintz
2. On an additive property of stable sets A. Balog and I. Rusza
3. Squarefree values of polynomials and the abc-conjecture J. Browkin, M. Filaseta, G. Greaves and A. Schinzel
4. The values of binary linear forms at prime arguments J. Brüdern, R. J. Cook and A. Perelli
5. Some applications of sieves of dimension exceeding 1 H. Diamond and H. Halberstam
6. Representations by the determinant and mean values of L-functions W. Duke, J. Friedlander and H. Iwaniec
7. On Montgomery-Hooley asymptotic formula D. A. Goldston and R. C. Vaughan
8. Franel integrals R. R. Hall
9. Eratosthenes, Legendre, Vinogradov and beyond G. Harman
10. On hypothesis K* in Waring's problem C. Hooley
11. Moments of differences between square-free numbers M. N. Huxley
12. On the ternary additive problem and the sixth moment of the zeta-function A. Ivic
13. A variant of the circle method M. Jutila
14. The resemblance of the behaviour of the remainder terms Es(t), D1-2s(x) and R(s+it) I. Kiuchi and K. Matsumoto
15. A note on the number of divisors of quadratic polynomials J. McKee
16. On the distribution of integer points in the real locus of an affine toric variety B. Z. Moroz
17. An asymptotic expansion of the square of the Riemann zeta-function Y. Motohashi
18. The mean square of Dedekind zeta-functions of quadratic number fields Y. Motohashi
19. Artin's conjecture and elliptic analogues M. R. Murty.

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• Table of Contents (82 KB)
• Index (121 KB)
• Front Matter (507 KB)
• Copyright Information Page (67 KB)
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