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  3. Van der Corput's Method of Exponential Sums
  • Cited by 258
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1991
Online ISBN:
9780511661976
DOI:
https://doi.org/10.1017/CBO9780511661976
Subjects:
Mathematics (general), Mathematics, Number Theory
Series:
London Mathematical Society Lecture Note Series (126)
Information

Book description

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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