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Van der Corput's Method of Exponential Sums : London Mathematical Society Lecture Notes - S. W. Graham

Van der Corput's Method of Exponential Sums

London Mathematical Society Lecture Notes

Paperback

Published: 15th April 1991
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This book is a self-contained account of the one- and two-dimensional van der Corput method and its use in estimating exponential sums. These arise in many problems in analytic number theory. It is the first cohesive account of much of this material and will be welcomed by graduates and professionals in analytic number theory. The authors show how the method can be applied to problems such as upper bounds for the Riemann-Zeta function. the Dirichlet divisor problem, the distribution of square free numbers, and the Piatetski-Shapiro prime number theorem.

Introduction
The simplest Van Der Corput estimates
The method of exponent pairs
Application of exponent pairs
Computing optimal exponent pairs
Two dimensional exponential sums
New exponent pairs
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521339278
ISBN-10: 0521339278
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 132
Published: 15th April 1991
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 0.79
Weight (kg): 0.2