Download or read book Van Der Corput's Method of Exponential Sums written by S. W. Graham and published by Cambridge University Press. This book was released on 1991-01-25 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.