MULTIPLE ZETA VALUES AND ITERATED LOG-SINE INTEGRALS

DOI10.2206/kyushujm.74.233zbMath1469.11363arXiv1904.09717OpenAlexW3111249706MaRDI QIDQ4995432

Ryota Umezawa

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09717

zbMATH Keywords

multiple zeta valuesmultiple polylogarithmslog-sine integrals

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Other functions defined by series and integrals (33E20)

Related Items (1)

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

Cites Work

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• Groupes fondamentaux motiviques de Tate mixte
• Generalized log sine integrals and the Mordell-Tornheim zeta values
• Log-Sine integrals involving series associated with the zeta function and polylogarithms
• 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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