Trigonometric Sums in Number Theory and Analysis
Anatoly A. Karatsuba, Vladimir N. Chubarikov, Gennady I. Arkhipov
E-bok
20083 509 kr
Trigonometric Sums in Number Theory and Analysis
AvGennady I. Arkhipov,Vladimir N. Chubarikov
Inbunden, Engelska, 2004
Del i serien De Gruyter Expositions in Mathematics
3 474 kr
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Beskrivning
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 in addition they present purely arithmetic results concerning the solvability of equations in integers.
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