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

Trigonometric sums in number theory and analysis



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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
Language: English
Page: 566
Format: pdf
ISBN: 3110162660, 9783110162660
Publisher: Walter de Gruyter

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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