A functional relation for \(L\)-functions of graphs equivalent to the Riemann hypothesis for Dirichlet \(L\)-functions

DOI10.1016/j.jnt.2016.05.025zbMath1409.11072arXiv1601.04573OpenAlexW2963525926MaRDI QIDQ739296

Fabien Friedli

Publication date: 18 August 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04573

zbMATH Keywords

generalized Riemann hypothesisfunctional equationscyclic graphsDirichlet \(L\)-functions\(L\)-functions of graphs

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$ ⋮ Special values of spectral zeta functions of graphs and Dirichlet \(L\)-functions ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ Spectral Zeta Functions ⋮ Zeta functions from graphs ⋮ The bundle Laplacian on discrete tori ⋮ Spectral zeta function on discrete tori and Epstein-Riemann hypothesis

Cites Work

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• A Problem Concerning a Character Sum
• Real zeros of Dedekind zeta functions of real quadratic fields
• On Sums Involving Quadratic Characters
• Real roots of Dirichlet 𝐿-series

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