On an equality equivalent to the Riemann hypothesis期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On an equality equivalent to the Riemann hypothesis

Authors:

V. V. Volchkov

Affiliation:

1. Donetsk University, Donetsk

Abstract:

We prove that the Riemann hypothesis on zeros of the zeta function zeta

(s) is equivalent to the equality

$intlimits_0^infty {frac{{1 - 12t^2 }}{{(1 + 4t^2 )^3 }}dt} intlimits_{1/2}^infty {ln \|varsigma (sigma + it)\|dsigma = pi frac{{3 - gamma }}{{32}},}$

Keywords:
本文献已被 SpringerLink 等数据库收录！