Généralisation du critère de Beurling-Nyman pour l’hypothèse de Riemann

DOI10.1090/S0002-9947-07-04261-4zbMath1136.11054MaRDI QIDQ3592770

Anne De Roton

Publication date: 24 September 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceDirichlet seriesSelberg classgeneral Riemann hypothesisBeurling-Nyman criterion

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

An approach of generalised Riemann hypothesis through sequences ⋮ Polynomial moments with a weighted zeta square measure on the critical line ⋮ Zero-free regions for Dirichlet series. II. ⋮ Generalisation of the Beurling-Nyman criterion for the Riemann Hypothesis ⋮ Zeros of Dirichlet polynomials via a density criterion ⋮ Zero-free regions for Dirichlet series ⋮ Une approche hilbertienne de l’hypothèse de Riemann généralisée

Cites Work

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• A real variable restatement of Riemann's hypothesis
• The Nyman-Beurling equivalent form for the Riemann hypothesis
• Remarks on the generalized Lindelöf hypothesis
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• On the mean square of the error term for an extended Selberg class
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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