The Nyman-Beurling equivalent form for the Riemann hypothesis

zbMath0954.11029MaRDI QIDQ1567438

Michel Balazard, Eric Saias

Publication date: 12 February 2001

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Mellin transformRiemann hypothesisBlaschke productRiemann's zeta-functionNyman-Beurling equivalent form of Riemann's hypothesistheorem of Beurling-Laxtheory of Hardy spaces

Mathematics Subject Classification ID

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

Related Items (13)

A generalization of Beurling's criterion for the Riemann hypothesis ⋮ Notes on the Riemann \(\zeta\)-function. IV ⋮ An approach of generalised Riemann hypothesis through sequences ⋮ A note on Nyman-Beurling's approach to the Riemann hypothesis ⋮ Geometric sequences and zero-free region of the zeta function ⋮ A fundamental set in $L^2(0,1)$ ⋮ An adelic causality problem related to abelian \(L\)-functions. ⋮ A problem of continuity linked to the Riemann hypothesis. ⋮ Generalisation of the Beurling-Nyman criterion for the Riemann Hypothesis ⋮ Généralisation du critère de Beurling-Nyman pour l’hypothèse de Riemann ⋮ Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis ⋮ A lower bound in an approximation problem involving the zeros of the Riemann zeta function ⋮ Une approche hilbertienne de l’hypothèse de Riemann généralisée

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