Polynomial approximations in a generalized Nyman-Beurling criterion

DOI10.5802/jtnb.1227OpenAlexW3033898205MaRDI QIDQ2684408

François Alouges, Sébastien Darses, Erwan Hillion

Publication date: 16 February 2023

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02953

zbMATH Keywords

Riemann zeta functionpolynomial approximationprobability distributionNyman-Beurling criterion

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Approximation by other special function classes (41A30)

Related Items (1)

Polynomial moments with a weighted zeta square measure on the critical line

Cites Work

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• On the closure of polynomials in weighted spaces of functions on the real line
• A Note on Fourier Transforms
• An exponentially-averaged Vasyunin formula
• Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities
• Generalizations of a cotangent sum associated to the Estermann zeta function
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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