Exponential sums and their applications
by Korobov, N. M., (Nikolaĭ Mikhaĭlovich)
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…
Read More ↓Title Statements
- Full title :Exponential sums and their applications / by N.M. Korobov ; [translated by Yu. N. Shakhov].
Summary
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.
Read More ↓Edition Statements
- Publication Date:©1992
Publication Statements
- Publisher(s):Kluwer Academic Publishers
- Place of Publication:Dordrecht
- Language:eng
- Publication Date:©1992
Notes
Translation of: Trigonometricheskie summy i ikh prilozhenii︠a︡.
The Physical Object
- Description:1 online resource (xv, 208 pages) : : illustrations
Edition Identifiers
- ISBN:9789401580328, 9401580324
- DOI:10.1007/978-94-015-8032-8
- oclc:ocn861705994
- LC Classification:QA246.8.T75
- Dewey Decimal:512/.73
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