Complex Analysis in Number Theory

By 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.

• Format: Hardcover
• Language: English
• ISBN: 0849328667
• ISBN13: 9780849328664
• Release Date: November 1994
• Publisher: CRC Press
• Length: 208 Pages
• Weight: 0.60 lbs.
• Dimensions: 0.7" x 6.2" x 9.7"