Li's criterion and zero-free regions of \(L\)-functions

DOI10.1016/j.jnt.2004.07.016zbMath1154.11334OpenAlexW2013554324MaRDI QIDQ2565542

Francis C. S. Brown

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.07.016

zbMATH Keywords

Siegel zerozero-free regionLi's criteriongeneral \(L\)-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (11)

The Li–Sekatskii coefficients for the Selberg class ⋮ TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS ⋮ 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 ⋮ Li coefficients for automorphic \(L\)-functions ⋮ Li's criterion for Epstein zeta functions, generalization of Kronecker's limit formula and the Gauss problem ⋮ ON INTERPOLATION FUNCTIONS FOR GENERALIZED Li COEFFICIENTS IN THE SELBERG CLASS ⋮ On Li's criterion for the Riemann hypothesis for the Selberg class ⋮ On Li's coefficients for the Rankin-Selberg \(L\)-functions ⋮ Explicit zero-free regions and a $\tau$-Li-type criterion

Cites Work

• Complements to Li's criterion for the Riemann Hypothesis
• The positivity of a sequence of numbers and the Riemann hypothesis
• Zeros of Dedekind zeta functions in the critical strip
• On the Hurwitz zeta-function
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