A problem of continuity linked to the Riemann hypothesis.

DOI10.5802/aif.2127zbMath1138.11337OpenAlexW4043186MaRDI QIDQ2485450

Nicolas Jousse

Publication date: 4 August 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_4_1373_0

zbMATH Keywords

continuityprojectionRiemann hypothesisBeurling-Nyman criteriondilated functions

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators on function spaces (general) (47B38) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• The Nyman-Beurling equivalent form for the Riemann hypothesis
• Note on the Riemann \(\zeta\)-function. III
• Finite dimensional translational invariant subspaces
• Study of the multiplicative autocorrelation of the fractional part function
• Le critére de Beurling et Nyman pour I'hypothése de Riemann: aspects numériques
• Best approximation in inner product spaces
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