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Van der Corput's Method of Exponential Sums S. W. Graham

Van der Corput's Method of Exponential Sums By S. W. Graham

Van der Corput's Method of Exponential Sums by S. W. Graham


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Summary

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.

Van der Corput's Method of Exponential Sums Summary

Van der Corput's Method of Exponential Sums by S. W. Graham

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.

Table of Contents

1. Introduction; 2. The simplest Van Der Corput estimates; 3. The method of exponent pairs; 4. Application of exponent pairs; 5. Computing optimal exponent pairs; 6. Two dimensional exponential sums; 7. New exponent pairs.

Additional information

NLS9780521339278
9780521339278
0521339278
Van der Corput's Method of Exponential Sums by S. W. Graham
New
Paperback
Cambridge University Press
1991-01-25
132
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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