On the Zeros of the Derivative of the Riemann Zeta Function

DOI10.1112/plms/s3-72.1.28zbMath0833.11043OpenAlexW1986029846MaRDI QIDQ4862831

Charng Rang Guo

Publication date: 17 March 1996

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-72.1.28

zbMATH Keywords

mean valueweighted sumhorizontal distributionlogarithmic derivativederivative of the Riemann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (8)

The distribution of zeros of \(\zeta^{'}(s)\) and gaps between zeros of \(\zeta(s)\) ⋮ Spirals of Riemann’s Zeta-Function — Curvature, Denseness and Universality ⋮ The density function for the value-distribution of the Lerch zeta-function and its applications ⋮ The horizontal distribution of zeros of \(\zeta'(s)\) ⋮ On the distribution of the zeros of the derivative of the Riemann zeta-function ⋮ On certain mean values of logarithmic derivatives of \(L\)-functions and the related density functions ⋮ Discrepancy bounds for the distribution of the Riemann zeta-function and applications ⋮ On the zeros of \(\zeta'(s)\) near the critical line

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