A note on Li’s coefficients for Hecke L-functions

DOI10.1142/S1793042117501007zbMath1453.11112OpenAlexW2583926305MaRDI QIDQ4975309

Raouf Ouni, Sami Omar

Publication date: 4 August 2017

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

Full work available at URL: https://doi.org/10.1142/s1793042117501007

zbMATH Keywords

Riemann hypothesisHecke \(L\)-functionsLi criterion

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

• On the Li coefficients for the Hecke \(L\)-functions
• Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem
• Li's criterion and the Riemann hypothesis for the Selberg class
• Explicit formulas for Dirichlet and Hecke \(L\)-functions
• On the zeros of Dirichlet -functions

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