Complex Analysis in Number Theory

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Complex Analysis in Number Theory

Complex Analysis in Number Theory

Name: Complex Analysis in Number Theory
ISBN: 9780849328664

Anatoly A. Karatsuba

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This book examines the application of complex analysis methods to the theory of prime numbers. In an easy to understand manner, a connection is established between arithmetic problems and those of zero distribution for special functions. Main achievements in this field of mathematics are described. Indicated is a connection between the famous Riemann zeta-function and the structure of the universe, information theory, and quantum mechanics. The theory of Riemann zeta-function and, specifically, distribution of its zeros are presented in a concise and comprehensive way. The full proofs of some modern theorems are given. Significant methods of the analysis are also demonstrated as applied to fundamental problems of number theory.

Kategorien:

Mathematics

Jahr:

1994

Auflage:

Verlag:

CRC Press

Sprache:

english

Seiten:

208

ISBN 10: