Evaluation of log-tangent integrals by series involving ζ(2n+1)

DOI10.1080/10652469.2017.1312366zbMath1381.11066arXiv1611.01274OpenAlexW3103463539MaRDI QIDQ5269328

Lahoucine Elaissaoui, Zine El-Abidine Guennoun

Publication date: 15 June 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01274

zbMATH Keywords

Riemann zeta functionsummation formulalog-tangent integralsApery's and Catalan's constantfinite and infinite series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Inequalities for sums, series and integrals (26D15) Trigonometric and exponential sums (general theory) (11L03)

Related Items (4)

Unnamed Item ⋮ Approximation by special values of Dirichlet series ⋮ LOG-TANGENT INTEGRALS AND THE RIEMANN ZETA FUNCTION ⋮ EVALUATING LOG-TANGENT INTEGRALS VIA EULER SUMS

Cites Work

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• Log-Sine integrals involving series associated with the zeta function and polylogarithms
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• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
• Euler’s integrals and multiple sine functions
• Special values of the Riemann zeta function capture all real numbers

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