Exponential sums and their applications
Author(s)
Bibliographic Information
Exponential sums and their applications
（Mathematics and its applications, . Soviet series ; v. 80）
Springer-Science+Business Media, c1992
- : softcover
- Other Title
-
Trigonometricheskie summy i ikh prilozhenii︠a︡
Trigonometrical sums and their applications
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Note
Bibliographical references: p. [203]-205
Includes indexes
"This book is the translation of the original work Trigonometrical sums and their applications c Nauka, Moscow 1989"--T.p. verso
"Originally published by Kluwer Academic Publishers in 1992. Softcover reprint of the hardcover 1st edition 1992"--T.p. verso
Description and Table of Contents
Description
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.
Table of Contents
Complete Exponential Sums.- Weyl's Sums.- Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas.
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