Trigonometric Sums in Number Theory and Analysis

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Walter de Gruyter, 2004 - Mathematics - 554 pages
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&Quot;In this book a systematic account of the theory of multiple trigonometric sums is given as created by the authors over a period of more than twenty years. The authors develop a unified approach with which they obtain estimates for these sums similar to the classical ones of I. M. Vinogradov. They use them to solve several problems in analytic number theory and investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis. Moreover, purely arithmetical results concerning the solvability of equations in integers are presented." "This book is intended for graduate students and researchers in number theory, probability theory, and analysis."--BOOK JACKET.

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About the author (2004)

Dr. Gennady I. Arkhipov and Dr. Anatoly A. Karatsuba are working at the Steklov Mathematical Institute of the Russian Academy of Sciences at Moscow, Russia.

Vladimir N. Chubarikov is Professor at the Faculty of Mechanics and Mathematics of the Lomonosov Moscow State University, Russia.

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