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Sieve Methods, Exponential Sums, and their Applications in Number Theory : London Mathematical Society Lecture Note Series - G. R. H. Greaves

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

London Mathematical Society Lecture Note Series


Published: 31st March 1997
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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 leading international figures in this area, which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction among the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, while 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.

The exceptional set for GoldbachÆs problem in short intervals
On an additive property of stable sets
Squarefree values of polynomials and the abc-conjecture
The values of binary linear forms at prime arguments
Some applications of sieves of dimension exceeding 1
Representations by the determinant and mean values of L-functions
On Montgomery-Hooley asymptotic formula
Franel integrals
Eratosthenes, Legendre, Vinogradov and beyond
On hypothesis K* in WaringÆs problem
Moments of differences between square-free numbers
On the ternary additive problem and the sixth moment of the zeta-function
A variant of the circle method
The resemblance of the behaviour of the remainder terms Es(t), D1-2s(x) and R(s+it)
A note on the number of divisors of quadratic polynomials
On the distribution of integer points in the real locus of an affine toric variety
An asymptotic expansion of the square of the Riemann zeta-function
The mean square of Dedekind zeta-functions of quadratic number fields
ArtinÆs conjecture and elliptic analogues
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521589574
ISBN-10: 0521589576
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 360
Published: 31st March 1997
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 2.0
Weight (kg): 0.53