Complex Analysis in Number Theory
Editorial Reviews
Book Description
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.
Language Notes
Text: English (translation)
Original Language: Russian
Complex Analysis in Number Theory,Anatoly A. Karatsuba,CRC,0849328667,Algebra - General,Applied,Functions Of Complex Variables,Mathematical analysis,Mathematics,Number Theory,Science/Mathematics,Theory Of Numbers,Analytic number theory,Complex analysis,Mathematics / Functional Analysis
Books Info:
Recommended Books