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Trigonometric Sums in Number Theory and Analysis (Hardcover): Gennady I. Arkhipov, Vladimir N. Chubarikov, Anatoly A. Karatsuba Trigonometric Sums in Number Theory and Analysis (Hardcover)
Gennady I. Arkhipov, Vladimir N. Chubarikov, Anatoly A. Karatsuba; Translated by Maria Shishkova
R7,607 Discovery Miles 76 070
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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. VinogradovAs 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 in addition they present purely arithmetic results concerning the solvability of equations in integers.

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