On the Generalized Li’s Criterion Equivalent to the Riemann Hypothesis and Its First Applications

DOI10.1007/978-3-030-68490-7_12zbMath1470.11225OpenAlexW3166352026MaRDI QIDQ5011579

Sergey K. Sekatskii

Publication date: 27 August 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-68490-7_12

zbMATH Keywords

Riemann hypothesisLi's criterion

Mathematics Subject Classification ID

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

Related Items (1)

The Li–Sekatskii coefficients for the Selberg class

Cites Work

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• Generalized Bombieri-Lagarias' theorem and generalized Li's criterion with its arithmetic interpretation
• The theta-Laguerre calculus formulation of the Li/Keiper constants
• Sharpenings of Li's criterion for the Riemann hypothesis
• Toward verification of the Riemann hypothesis: application of the Li criterion
• The special functions and their approximations. Vol. I, II
• On certain sums over the non-trivial zeta zeroes
• Equivalents of the Riemann Hypothesis
• A note on the Riemann zeta-function

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