Notes on the Riemann \(\zeta\)-function. IV

DOI10.1016/j.aim.2003.09.008zbMath1096.11032OpenAlexW2120152808MaRDI QIDQ1882954

Eric Saias, Michel Balazard

Publication date: 1 October 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.09.008

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisSmith determinants

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (5)

On a question of Balazard and Saias related to the Riemann hypothesis ⋮ A Hardy space analysis of the Báez-Duarte criterion for the RH ⋮ An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function ⋮ Arithmetic and analysis of the series \(\sum_{n=1}^\infty \frac{1}{n} \sin \frac{x}{n}\) ⋮ On probabilistic generalizations of the Nyman-Beurling criterion for the zeta Function

Cites Work

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• Notes on the Riemann zeta-function. I
• On Smith's determinant
• The Nyman-Beurling equivalent form for the Riemann hypothesis
• New versions of the Nyman-Beurling criterion for 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
• A strengthening of the Nyman-Beurling criterion for the Riemann hypothesis
• Study of the multiplicative autocorrelation of the fractional part function
• A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION

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