Li's criterion and the Riemann hypothesis for function fields

DOI10.1016/j.ffa.2010.09.004zbMath1222.11138OpenAlexW1971436563MaRDI QIDQ609365

Saber Bouanani, Sami Omar

Publication date: 30 November 2010

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.09.004

zbMATH Keywords

function fieldsRiemann hypothesisLi's criterion

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

Li's criterion and the Riemann hypothesis for function fields. II. ⋮ A computational approach to the generalized Riemann hypothesis ⋮ On the Li coefficients for the Dirichlet \(L\)-functions ⋮ On the Li coefficients for the Hecke \(L\)-functions

Cites Work

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• Li's criterion and 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
• Complements to Li's criterion for the Riemann Hypothesis
• The positivity of a sequence of numbers and the Riemann hypothesis
• Explicit formulas for Dirichlet and Hecke \(L\)-functions
• Sharpenings of Li's criterion for the Riemann hypothesis
• Li coefficients for automorphic \(L\)-functions

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