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.
- ISBN10 0849328667
- ISBN13 9780849328664
- Publish Date 22 November 1994
- Publish Status Active
- Publish Country US
- Publisher Taylor & Francis Inc
- Imprint CRC Press Inc
- Format Hardcover
- Pages 208
- Language English