Summation properties of the \(\eta _j\) and Li constants

DOI10.1016/J.CAM.2009.02.034zbMath1233.11087OpenAlexW2065447607MaRDI QIDQ1035611

Mark W. Coffey

Publication date: 4 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.034

zbMATH Keywords

Riemann zeta functionRiemann hypothesisLaurent expansionlogarithmic derivativesRiemann xi functionLi criterionbinomial transformLi constants

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 (1)

Expressions for two generalized Furdui series

Cites Work

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• Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis
• A zero-density theorem for the Riemann zeta-function
• Complements to Li's criterion for the Riemann Hypothesis
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• The positivity of a sequence of numbers and the Riemann hypothesis
• Relations and positivity results for the derivatives of the Riemann \(\xi\) function.
• Explicit formulas for Dirichlet and Hecke \(L\)-functions
• The theta-Laguerre calculus formulation of the Li/Keiper constants
• Toward verification of the Riemann hypothesis: application of the Li criterion
• An explicit formula and estimations for Hecke L-functions: Applying the Li criterion
• Power Series Expansions of Riemann's ζ Function
• A LI-TYPE CRITERION FOR ZERO-FREE HALF-PLANES OF RIEMANN'S ZETA FUNCTION

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