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9780521339278

Van der Corput's Method of Exponential Sums

by
  • ISBN13:

    9780521339278

  • ISBN10:

    0521339278

  • Format: Paperback
  • Copyright: 1991-01-25
  • Publisher: Cambridge University Press

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Supplemental Materials

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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. 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

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.

Supplemental Materials

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