Generalisation of the Beurling-Nyman criterion for the Riemann Hypothesis

DOI10.1016/J.CRMA.2004.11.023zbMath1063.11029OpenAlexW2071760167MaRDI QIDQ1764182

Anne De Roton

Publication date: 24 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.11.023

zbMATH Keywords

generalized Riemann hypothesisBeurling-Nyman criterion

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (1)

Zeros of Dirichlet polynomials via a density criterion

Cites Work

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• The Nyman-Beurling equivalent form for the Riemann hypothesis
• On the mean square of the error term for an extended Selberg class
• Généralisation du critère de Beurling-Nyman pour l’hypothèse de Riemann
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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