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Trigonometric Sums in Number Theory and Analysis By

โœ Scribed by G. I. Arkhipov, V. N. Chubarikov, A. A. Karatsuba, Gennadii Ivanovich Arkhipov, Vladimir Nikolaevich Chubarikov, Anatolii Alekseevich Karatsuba

Book ID
127447584
Publisher
Walter de Gruyter
Year
2004
Tongue
English
Weight
3 MB
Series
De Gruyter Expositions in Mathematics
Category
Library
ISBN
3110162660

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โœฆ Synopsis

Vinogradov first developed the method of trigonometric sums in the first decades of the twentieth century as a way of solving problems in analytical number theory. The authors here present a systematic account of the theory of multiple trigonometric sums, using a unified approach to derive results similar to those of Vinogradov, with the understanding the theory of multiple trigonometric sums has reached the level of completion of one-dimensional sums. They use their results to solve problems in analytic number theory and to investigate trigonometric integrals common in physics, statistics and analysis. They also present purely mathematical results for the solvability of equations in integers. This text is designed for graduate students and researchers in number theory, probability theory, and analysis

๐Ÿ“œ SIMILAR VOLUMES

Trigonometric sums in number theory and
Trigonometric sums in number theory and analysis
โœ G. I. Arkhipov, V. N. Chubarikov, A. A. Karatsuba, Gennadii Ivanovich Arkhipov, ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› Walter de Gruyter ๐ŸŒ English โš– 3 MB

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 t

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