Another proof of Spira's inequality and its application to the Riemann hypothesis

DOI10.7153/jmi-07-16zbMath1306.11067arXiv1206.1801OpenAlexW2316818567MaRDI QIDQ5301090

Sadegh Nazardonyavi, Semyon B. Yakubovich

Publication date: 2 July 2013

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1801

zbMATH Keywords

Riemann zeta-functioncritical stripsize of the Riemann zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (6)

An explicit density estimate for Dirichlet $L$-series ⋮ The size of the Selberg zeta-function at places symmetric with respect to the line \(\mathrm{Re}(s)=1/2\) ⋮ Inversion formulae for a Lambert-type transform and the Salem's equivalence to the Riemann hypothesis ⋮ An improved Spira's inequality for the Riemann zeta function and its derivatives in the critical strip ⋮ An inequality for the Riemann zeta function ⋮ The size of the Lerch zeta-function at places symmetric with respect to the line $\Re(s)=1/2$

This page was built for publication: Another proof of Spira's inequality and its application to the Riemann hypothesis