《Complex Analysis in Number Theory》是1994年CRC Press出版的圖書，作者是Anatoly A. Karatsuba。
基本介紹
- 外文名：Complex Analysis in Number Theory
- 作者：Anatoly A. Karatsuba
- 出版時間：1994年11月22日
- 出版社：CRC Press
- 頁數：208 頁
- ISBN：9780849328664
- 裝幀：Hardcover
內容簡介
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.
