Mertens' theorem and prime number theorem for Selberg class
Number Theory
2014-07-21 v4
Abstract
In 1874, Mertens proved the approximate formula for partial Euler product for Riemann zeta function at , which is called Mertens' theorem. In this paper, we generalize Mertens' theorem for Selberg class and show the prime number theorem for Selberg class.
Keywords
Cite
@article{arxiv.1311.0754,
title = {Mertens' theorem and prime number theorem for Selberg class},
author = {Yoshikatsu Yashiro},
journal= {arXiv preprint arXiv:1311.0754},
year = {2014}
}
Comments
12 pages