Zeta functions over zeros of Zeta functions and an exponential-asymptotic view of the Riemann Hypothesis

zbMath1365.11107arXiv1403.4558MaRDI QIDQ3451872

André Voros

Publication date: 18 November 2015

Full work available at URL: https://arxiv.org/abs/1403.4558

zbMATH Keywords

Riemann zeta functionStieltjes constantsMellin transformsspecial valuesLi criterionRiemann zerossuperzeta functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Hurwitz and Lerch zeta functions (11M35) Asymptotic representations in the complex plane (30E15) Analytic continuation of functions of one complex variable (30B40)

Related Items (3)

Centralized variant of the Li criterion on functions fields ⋮ On the spectral zeta functions of the Laplacians on the projective complex spaces and on the \(n\)-spheres ⋮ Discretized Keiper/Li Approach to the Riemann Hypothesis

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