On an equality equivalent to the Riemann hypothesis
Abstract
We prove that the Riemann hypothesis on zeros of the zeta function ζ(s) is equivalent to the equality ∞∫01−12t2(1+4t2)3dt∞∫1/2ln|ς(σ+it)|dσ=π3−γ32, where γ=limN→∞(N∑n=11n−lnN) 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.
Issue
Section
Short communications