Evaluation of the Li coefficients on function fields and applications

DOI10.1007/s40879-018-0212-6zbMath1429.11174OpenAlexW2786965142MaRDI QIDQ1999243

Kamel Mazhouda, Lejla Smajlovic

Publication date: 26 June 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-018-0212-6

zbMATH Keywords

Riemann hypothesisglobal function fieldsapproximation of $L$-functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Other Dirichlet series and zeta functions (11M41)

Related Items (6)

The Li–Sekatskii coefficients for the Selberg class ⋮ Centralized variant of the Li criterion on functions fields ⋮ Superzeta functions on function fields ⋮ Unnamed Item ⋮ Variations on criteria of Pólya and Turán for the Riemann hypothesis ⋮ Explicit formula on function fields and application: Li coefficients

Cites Work

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• On asymptotic behavior of generalized Li coefficients in the Selberg class
• 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
• On Li's coefficients for the Rankin-Selberg \(L\)-functions
• Complements to Li's criterion for the Riemann Hypothesis
• The positivity of a sequence of numbers and the Riemann hypothesis
• On relations equivalent to the generalized Riemann hypothesis for the Selberg class
• On the Li coefficients for the Dirichlet \(L\)-functions
• On the modified Li criterion for a certain class of \(L\)-functions
• Sharpenings of Li's criterion for the Riemann hypothesis
• Li coefficients for automorphic \(L\)-functions
• On a Li-type criterion for zero-free regions of certain Dirichlet series with real coefficients

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