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

Trigonometric sums in number theory and analysis



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