Parity result for \(q\)- and elliptic analogues of multiple polylogarithms

DOI10.1007/s40993-023-00452-yOpenAlexW4378802663MaRDI QIDQ6098533

Masaki Kato

Publication date: 14 June 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-023-00452-y

zbMATH Keywords

\(q\)-analoguemultiple polylogarithmelliptic analogueparity result

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Other functions defined by series and integrals (33E20) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• A functional relation for analytic continuation of a multiple polylogarithm
• Combinatorial relations for Euler–Zagier sums
• ON <i>q</i>-ANALOGUES OF ZETA FUNCTIONS OF ROOT SYSTEMS
• Functional relations for elliptic polylogarithms
• Derivation and double shuffle relations for multiple zeta values

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