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

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.