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OverviewThe 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. Full Product DetailsAuthor: N.M KorobovPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 1992 Volume: 80 Dimensions: Width: 15.50cm , Height: 1.20cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048141371ISBN 10: 9048141370 Pages: 210 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsComplete Exponential Sums.- Weyl’s Sums.- Fractional Parts Distribution, Normal Numbers, and Quadrature Formulas.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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