Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple \(L\)-values

DOI10.1007/s10986-023-09608-wzbMath1525.11090OpenAlexW4386967079MaRDI QIDQ6054054

Yoshitaka Sasaki, Yayoi Nakamura

Publication date: 24 October 2023

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

Full work available at URL: https://doi.org/10.1007/s10986-023-09608-w

zbMATH Keywords

multiple polylogarithmmultiple \(L\)-valuemultiple Clausen/Glaisher function

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• LOG-SINE EVALUATIONS OF MAHLER MEASURES
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• On evaluation formulas for double L-values
• Log-Sine integrals involving series associated with the zeta function and polylogarithms
• On the Evaluation of Some Multiple Series
• A functional relation for analytic continuation of a multiple polylogarithm
• Analytic Properties of Multiple Zeta-Functions in Several Variables
• On analogues of Arakawa-Kaneko zeta functions of Mordell-Tornheim type
• Harmonic Double Series

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