Sieve methods, exponential sums, and their applications in number theory : Proceedings of a symposium held on Cardiff, July 1995

Includes bibliography and references.

Contents
1. The Exceptional Set for Goldbachs Problem in Short Intervals
2. On an Additive Property of Stable Sets
3. Squarefree Values of Polynomials and the abcConjecture    
4. The Values of  Binary  Linear Forms at Prime Arguments
5. Some Applications of Sieves of Dimension exceeding 1
6. Representations by the Determinant and Mean Values of LFunctions
7. On the MontgomeryHooley Asymptotic Formula
8. Franel Integrals

9. Eratosthenes Legendre Vinogradov and beyond
10. On Hypothesis K in Warings Problem
11. Moments of Differences between Squarefree Numbers
12. On the Ternary Additive Divisor Problem and the Sixth Moment of the ZetaFunction
13. A Variant of the Circle Method
14. The Resemblance of the Behaviour of the Remainder Terms Eσ(t), Δ1-2σ(x) and R(σ + it)
15. A Note on the Number of Divisors of Quadratic Polynomials
16. On the Distribution of Integer Points in the Real Locus of an Afflne Toric Variety
17. An Asymptotic Expansion of the Square of the Riemann ZetaFunction
18. The Mean Square of Dedekind ZetaFunctions of Quadratic Number Fields
19. Artins Conjecture and Elliptic Analogues

This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function.