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＜電子ブック＞
Exponential Sums and their Applications / by N.M Korobov
(Mathematics and its Applications, Soviet Series ; 80)

版	1st ed. 1992.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XVI, 210 p : online resource
著者標目	*Korobov, N.M author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Approximation theory FREE:Number Theory FREE:Computational Mathematics and Numerical Analysis FREE:Approximations and Expansions
一般注記	Complete Exponential Sums -- Weyl’s Sums -- Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8032-8

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