An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion

DOI10.1134/S0081543813030036zbMath1295.11086arXiv1211.5191OpenAlexW3100048796MaRDI QIDQ2447011

David W. Farmer, Sandro Bettin, John Brian Conrey

Publication date: 23 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5191

zbMATH Keywords

Riemann hypothesisDirichlet polynomialNyman-Beurling criterion

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (5)

Estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis ⋮ Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ Zeros of Dirichlet polynomials via a density criterion ⋮ A characterization of the zero-free region of the Riemann zeta function and its applications

Cites Work

• On Nyman, Beurling and Baez-Duarte's Hilbert space reformulation of the Riemann hypothesis
• A lower bound in an approximation problem involving the zeros of the Riemann zeta function
• Note on the Riemann \(\zeta\)-function. III
• Study of the multiplicative autocorrelation of the fractional part function
• Random matrix theory and the derivative of the Riemann zeta function
• Le critére de Beurling et Nyman pour I'hypothése de Riemann: aspects numériques
• An Extension of a Theorem of G. Szego and Its Application to the Study of Stochastic Processes

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