On a conjecture of Shanks

DOI10.3792/pjaa.70.109zbMath0824.11052OpenAlexW2004881414WikidataQ122942792 ScholiaQ122942792MaRDI QIDQ5906619

Akio Fujii

Publication date: 18 December 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.109

zbMATH Keywords

Riemann zeta functionmean value theoremsapproximate functional equationmean values over non-trivial zerosShanks' conjecture

Mathematics Subject Classification ID

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

Related Items (8)

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function ⋮ Spirals of Riemann’s Zeta-Function — Curvature, Denseness and Universality ⋮ A Discrete Mean Value of the Derivative of the Riemann Zeta Function ⋮ On a conjecture of Shanks ⋮ On the roots of the equation \(\zeta (s)=a\) ⋮ On some averages at the zeros of the derivatives of the Riemann zeta-function ⋮ On the distribution of values of the derivative of the Riemann zeta function at its zeros. I ⋮ On a certain sum of the derivative of Dirichlet \(L\)-functions

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