On an equality equivalent to the Riemann hypothesis

  • 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
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.
Section
Short communications