Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter Algebras

DOI10.1007/978-3-030-37031-2_10zbMath1444.81023arXiv1412.8044OpenAlexW310737411MaRDI QIDQ3304300

Jianqiang Zhao

Publication date: 5 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8044

zbMATH Keywords

multiple zeta valuesduality relationsdouble shuffle relationsRota-Baxter algebras\(q\)-analog of multiple zeta values

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (5)

Proving dualities for \(q\)MZVs with connected sums ⋮ Rota-Baxter algebras and left weak composition quasi-symmetric functions ⋮ Partitions, multiple zeta values and the \(q\)-bracket ⋮ Balanced multiple q-zeta values ⋮ Derivations on the algebra of multiple harmonic \(q\)-series and their applications

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