Exponential Sums and their Applications / Edition 1

by N.M Korobov

Overview

The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications.
The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included.
It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.

Product Details

ISBN-13:	9780792316473
Publisher:	Springer Netherlands
Publication date:	03/31/1992
Series:	Mathematics and its Applications , #80
Edition description:	1992
Pages:	210
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Complete Exponential Sums.- Weyl’s Sums.- Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas.