## Trigonometric sums in number theory and analysis download ebook

Par wright lou le mardi, mai 15 2012, 06:54 - Lien permanent

## Trigonometric sums in number theory and analysis. A. A. Karatsuba, Anatolii Alekseevich Karatsuba, G. I. Arkhipov, Gennadii Ivanovich Arkhipov, V. N. Chubarikov, Vladimir Nikolaevich Chubarikov

## Download Trigonometric sums in number theory and analysis

**Trigonometric sums in number theory and analysis A. A. Karatsuba, Anatolii Alekseevich Karatsuba, G. I. Arkhipov, Gennadii Ivanovich Arkhipov, V. N. Chubarikov, Vladimir Nikolaevich Chubarikov. pdf ebook**

Publisher: Walter de Gruyter

Language: English

Page: 566

ISBN: 3110162660, 9783110162660

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.

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A. A. Karatsuba, Anatolii Alekseevich Karatsuba, G. I. Arkhipov, Gennadii Ivanovich Arkhipov, V. N. Chubarikov, Vladimir Nikolaevich Chubarikov ebooks