Exploring Riemann’s functional equation

DOI10.1080/23311835.2016.1179246zbMath1438.11121arXiv1510.06333OpenAlexW2160518686MaRDI QIDQ4966762

Michael S. Milgram

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06333

zbMATH Keywords

asymptoticszerosRiemann hypothesiscritical lineRiemann's zeta functionRiemann's functional equationanomalous zerosVolchkov criterion

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 (4)

A Note on the Riemann $\xi$-Function ⋮ An integral equation for Riemann's zeta function and its approximate solution ⋮ Further exploration of Riemann's functional equation ⋮ Uncovering functional relationships at zeros with special reference to Riemann's Zeta Function

Uses Software

• DLMF

Cites Work

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• A zero-density theorem for the Riemann zeta-function
• Zeros of derivatives of Riemann's xi-function on the critical line
• Zeros of derivatives of Riemann's Xi-function on the critical line. II
• On equalities involving integrals of the logarithm of the Riemann \(\zeta\)-function and equivalent to the Riemann hypothesis
• Zeros of \(\zeta '(s)\) and the Riemann hypothesis
• Understanding Branch Cuts of Expressions
• On an equality equivalent to the Riemann hypothesis
• On the exact location of the non-trivial zeros of Riemann's zeta function

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