On equalities involving integrals of the logarithm of the Riemann \(\varsigma\)-function with exponential weight which are equivalent to the Riemann hypothesis

DOI10.1155/2015/980728zbMath1334.11071OpenAlexW2144828828WikidataQ59106566 ScholiaQ59106566MaRDI QIDQ275649

Sergey K. Sekatskii, Stefano Beltraminelli

Publication date: 26 April 2016

Published in: International Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/980728

zbMATH Keywords

Riemann zeta functionRiemann hypothesisintegral inequalities

Mathematics Subject Classification ID

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

Related Items (4)

Some simplest integral equalities equivalent to the Riemann hypothesis ⋮ Generalized Bombieri-Lagarias' theorem and generalized Li's criterion with its arithmetic interpretation ⋮ Exploring Riemann’s functional equation ⋮ On the Generalized Li’s Criterion Equivalent to the Riemann Hypothesis and Its First Applications

Cites Work

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• Notes on the Riemann \(\zeta\)-function. II
• Short effective intervals containing primes
• On equalities involving integrals of the logarithm of the Riemann \(\zeta\)-function and equivalent to the Riemann hypothesis
• A HIDDEN SYMMETRY RELATED TO THE RIEMANN HYPOTHESIS WITH THE PRIMES INTO THE CRITICAL STRIP
• On an equality equivalent to the Riemann hypothesis
• Computing $\pi (x)$ analytically
• A note on the Riemann zeta-function

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