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Trigonometric sums in number theory and analysis

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

Book ID
127455672
Publisher
Walter de Gruyter
Year
2004
Tongue
English
Weight
3 MB
Series
De Gruyter expositions in mathematics 39
Edition
1
Category
Library
City
Berlin; New York
ISBN
3110197987

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Trigonometric Sums in Number Theory and
Trigonometric Sums in Number Theory and Analysis By
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

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 s

Method of Trigonometrical Sums in the Th
Method of Trigonometrical Sums in the Theory of Numbers
โœ Vinogradov I.M. ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐ŸŒ English โš– 3 MB

Since the 1930s, the analytic theory of numbers has been transformed by the influence of I. M. Vinogradov. The Method of Trigonometrical Sums in the Theory of Numbers, which led to remarkable new results, testifies to its author's supreme ingenuity and to the effectiveness of his methods. Starting w

The method of trigonometrical sums in th
The method of trigonometrical sums in the theory of numbers
โœ I. M. Vinogradov ๐Ÿ“‚ Library ๐Ÿ“… 2004 ๐Ÿ› Dover Publications ๐ŸŒ English โš– 1 MB

This text begins with a discussion of general lemmas and advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(*n*). Further topics include approximation by the fractional parts of the values of a p