학술논문
A Characterization of Nontrivial Zeros of Riemann Zeta Function.
Document Type
Article
Author
Source
Subject
*ZETA functions
*RIEMANN hypothesis
*
Language
ISSN
1310-0157
Abstract
In this article, we give a characterization of nontrivial zeros of the Riemann zeta function using two real integrals. Using this characterization we can provide simple proof of the fact that the Riemann zeta function has no nontrivial real zeros. We also establish that this function takes negative values on the real axis within the critical region. [ABSTRACT FROM AUTHOR]