Trigonometric Sums in Number Theory and Analysis

Author:   Gennady I. Arkhipov ,  Vladimir N. Chubarikov ,  Anatoly A. Karatsuba ,  Maria Shishkova
Publisher:   De Gruyter
Volume:   39
ISBN:  

9783110162660


Pages:   564
Publication Date:   24 November 2004
Recommended Age:   College Graduate Student
Format:   Hardback
Availability:   Out of stock   Availability explained
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Trigonometric Sums in Number Theory and Analysis


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Overview

The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov's estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and present purely arithmetic results concerning the solvability of equations in integers.

Table of Contents

Tab Content 6

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