Bounding the log-derivative of the zeta-function

DOI10.1007/s00209-021-02820-9zbMath1485.11125arXiv2103.06237OpenAlexW3184971749MaRDI QIDQ2070963

Felipe Gonçalves, Andrés Chirre

Publication date: 25 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06237

zbMATH Keywords

Riemann hypothesiszeta-functioncritical stripbandlimited functionsexponential typeBeurling-Selberg extremal problem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Approximation by other special function classes (41A30)

Related Items (2)

A note on the mean values of the derivatives of 𝜁’/𝜁 ⋮ Conditional estimates for the logarithmic derivative of Dirichlet \(L\)-functions

Cites Work

• Unnamed Item
• Bounding \(\zeta(s)\) in the critical strip
• Interpolation formulas with derivatives in de Branges spaces. II.
• Explicit bounds on the logarithmic derivative and the reciprocal of the Riemann zeta-function
• Bandlimited approximations and estimates for the Riemann zeta-function
• Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis
• A note on entire \(L\)-functions
• Quadrature and Extremal Bandlimited Functions
• Gaussian subordination for the Beurling-Selberg extremal problem
• Bounding |ζ(½+it )| on the Riemann hypothesis
• The Zeros of the Derivative of the Riemann Zeta Function Near the Critical Line
• Some extremal functions in Fourier analysis
• Bounding S_n(t) on the Riemann hypothesis
• A note on S(t ) and the zeros of the Riemann zeta-function

This page was built for publication: Bounding the log-derivative of the zeta-function