ENGLISH

Trigonometric sums in number theory and analysis

By G. I. Arkhipov , V. N. Chubarikov , A. A. Karatsuba , Gennadii Ivanovich Arkhipov , Vladimir Nikolaevich Chubarikov , Anatolii Alekseevich Karatsuba

Book information

Publisher
Walter de Gruyter
Year
2004
ISBN
3110162660, 9783110162660, 9783110197983
LCC
QA246.8.T75 A75 2004
Open Library ID
OL3296781M
Language
english
Format
PDF
Filesize
3 MB (2631849 bytes)
Series
De Gruyter expositions in mathematics 39
Pages
566\566
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

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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