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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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Department of Mathematics, Moscow University, Moscow, USSR
N. M. Korobov
Bibliographic Information
Book Title: Exponential Sums and their Applications
Authors: N. M. Korobov
Series Title: Mathematics and its Applications
DOI: https://doi.org/10.1007/978-94-015-8032-8
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1992
Hardcover ISBN: 978-0-7923-1647-3Published: 31 March 1992
Softcover ISBN: 978-90-481-4137-1Published: 15 December 2010
eBook ISBN: 978-94-015-8032-8Published: 29 June 2013
Series ISSN: 0169-6378
Edition Number: 1
Number of Pages: XVI, 210
Topics: Number Theory, Computational Mathematics and Numerical Analysis, Approximations and Expansions