Li's criterion and the Riemann hypothesis for the Selberg class

DOI10.1016/j.jnt.2006.09.013zbMath1137.11060OpenAlexW2045840473MaRDI QIDQ884520

Kamel Mazhouda, Sami Omar

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.013

zbMATH Keywords

Riemann hypothesisSelberg classLi's criterion

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (13)

The Li–Sekatskii coefficients for the Selberg class ⋮ Li's criterion and the Riemann hypothesis for function fields ⋮ A computational approach to the generalized Riemann hypothesis ⋮ On a class of Epstein zeta functions ⋮ On the Li coefficients for the Dirichlet \(L\)-functions ⋮ 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 ⋮ On a generalization of Kronecker's limit formula ⋮ On Li's criterion for the Riemann hypothesis for the Selberg class ⋮ The Li criterion and the Riemann hypothesis for the Selberg class. II ⋮ Corrigendum and addendum to: Li's criterion and the Riemann hypothesis for the Selberg class ⋮ Explicit formula on function fields and application: Li coefficients ⋮ A note on Li’s coefficients for Hecke L-functions

Cites Work

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• Complements to Li's criterion for the Riemann Hypothesis
• On the Selberg class of Dirichlet series: Small degrees
• The positivity of a sequence of numbers and the Riemann hypothesis
• Explicit formulas for Dirichlet and Hecke \(L\)-functions
• On the Non-Vanishing of a Certain Class of Dirichlet Series

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