Complex Analysis in Number Theory
Anatoly A. Karatsuba
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.
類別:
年:
1994
版本:
1
出版商:
CRC Press
語言:
english
頁數:
208
ISBN 10:
0849328667
ISBN 13:
9780849328664
文件:
PDF, 7.85 MB
IPFS:
,
english, 1994