Duality of one-variable multiple polylogarithms and their \(q\)-analogues

DOI10.3836/TJM/1502179378arXiv2010.05505OpenAlexW4287642525MaRDI QIDQ6150159

Shuji Yamamoto

Publication date: 6 February 2024

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

Full work available at URL: https://arxiv.org/abs/2010.05505

zbMATH Keywords

hypergeometric seriesconnected summultiple zeta values\(q\)-analoguemultiple polylogarithms

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Multiple \(q\)-zeta values
• Duality/sum formulas for iterated integrals and their application to multiple zeta values
• On multiple zeta values of level two
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• A new proof of the duality of multiple zeta values and its generalizations

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