Some simplest integral equalities equivalent to the Riemann hypothesis

DOI10.1007/S11253-023-02144-3OpenAlexW4363677395WikidataQ123251630 ScholiaQ123251630MaRDI QIDQ6038875

Sergey K. Sekatskii, Stefano Beltraminelli

Publication date: 3 May 2023

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02144-3

zbMATH Keywords

Riemann hypothesis

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (2)

Notes on the Riemann \(\zeta\)-function. IV ⋮ On criteria related to the reciprocal of the Riemann zeta function

Cites Work

• On equalities involving integrals of the logarithm of the Riemann \(\varsigma\)-function with exponential weight which are equivalent to the Riemann hypothesis
• Notes on the Riemann \(\zeta\)-function. II
• On equalities involving integrals of the logarithm of the Riemann \(\zeta\)-function and equivalent to the Riemann hypothesis
• On an equality equivalent to the Riemann hypothesis

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