Evaluation of iterated log-sine integrals in terms of multiple polylogarithms

DOI10.1142/s1793042123501002arXiv1912.07201OpenAlexW2996445909MaRDI QIDQ6050855

Ryota Umezawa

Publication date: 19 September 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07201

zbMATH Keywords

multiple zeta valuesmultiple polylogarithmsClausen functionsGlaisher functionsiterated log-sine integrals

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Computations about formal multiple zeta spaces defined by binary extended double shuffle relations

Cites Work

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• The algebra of multiple harmonic series
• Central Binomial Sums, Multiple Clausen Values, and Zeta Values
• Log-Sine integrals involving series associated with the zeta function and polylogarithms
• MULTIPLE ZETA VALUES AND ITERATED LOG-SINE INTEGRALS
• Special values of generalized log-sine integrals
• New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

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