On an equality equivalent to the Riemann hypothesis

Authors

  • V. V. Volchkov

Abstract

We prove that the Riemann hypothesis on zeros of the zeta function ζ(s) is equivalent to the equality 0112t2(1+4t2)3dt1/2ln|ς(σ+it)|dσ=π3γ32, where γ=limN(Nn=11nlnN) is the Euler constant.

Published

25.03.1995

Issue

Section

Short communications

How to Cite

Volchkov, V. V. “On an Equality Equivalent to the Riemann Hypothesis”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 3, Mar. 1995, pp. 422–423, https://umj.imath.kiev.ua/index.php/umj/article/view/5435.