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Van Der Corput's Method of Exponential Sums

Van Der Corput's Method of Exponential Sums

Paperback

Series: London Mathematical Society Lecture Note, Book 126

General Mathematics

ISBN10: 0521339278
ISBN13: 9780521339278
Publisher: Cambridge University Press
Published: Jan 25 1991
Pages: 132
Weight: 0.45
Height: 0.31 Width: 6.00 Depth: 9.00
Language: English
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.

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General Mathematics