2132047

9783110162660

Trigonometric Sums In Number Theory And Analysis

Trigonometric Sums In Number Theory And Analysis
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  • ISBN-13: 9783110162660
  • ISBN: 3110162660
  • Publication Date: 2004
  • Publisher: De Gruyter Incorporated, Walter

AUTHOR

Arkhipov, Gennadii Ivanovich, Chubarikov, Vladimir Nikolaevich, Karatsuba, Anatolii Alekseevich

SUMMARY

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.Arkhipov, Gennadii Ivanovich is the author of 'Trigonometric Sums In Number Theory And Analysis ', published 2004 under ISBN 9783110162660 and ISBN 3110162660.

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