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<図書>
Exponential sums and their applications

責任表示 by N.M. Korobov ; [translated by Yu.N. Shakhov]
シリーズ Mathematics and its applications ; . Soviet series ; v. 80
データ種別 図書
出版者 Dordrecht ; Boston : Kluwer Academic Publishers
出版年 c1992
本文言語 英語
大きさ xv, 208 p. : ill. ; 25 cm
概要 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 fundament...ls 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. 続きを見る

所蔵情報


理系図1F 開架 068252195000220 413.5/Ko 79 1992

書誌詳細

別書名 原タイトル:Trigonometricheskie summy i ikh prilozhenii︠a︡
一般注記 Bibliographical references: p. [203]-205
Include indexes
著者標目 *Korobov, N. M. (Nikolaĭ Mikhaĭlovich)
件 名 LCSH:Trigonometric sums
LCSH:Exponential sums
分 類 LCC:QA246.8.T75
DC20:512/.73
書誌ID 1001151282
ISBN 0792316479
NCID BA14338144
巻冊次 ISBN:0792316479
登録日 2009.09.17
更新日 2009.09.17

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