Explicit zero-free regions and a $\tau$-Li-type criterion

zbMath1441.11216arXiv1807.01506MaRDI QIDQ5124316

Neea Palojärvi

Publication date: 18 September 2020

Full work available at URL: https://arxiv.org/abs/1807.01506

zbMATH Keywords

explicit formulaszero-free regionsLi coefficients\(\tau\)-Li coefficients

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Cites Work

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• Transcendental equations satisfied by the individual zeros of Riemann \(\zeta\), Dirichlet and modular \(L\)-functions
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• Li's criterion and zero-free regions of \(L\)-functions
• On a Li-type criterion for zero-free regions of certain Dirichlet series with real coefficients
• EXPLICIT ZERO‐FREE REGIONS FOR DIRICHLET ‐FUNCTIONS
• An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
• A LI-TYPE CRITERION FOR ZERO-FREE HALF-PLANES OF RIEMANN'S ZETA FUNCTION

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