The algebra of a \(q\)-analogue of multiple harmonic series

DOI10.3842/SIGMA.2013.061zbMath1286.11135arXiv1306.6164MaRDI QIDQ2447831

Yoshihiro Takeyama

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6164

zbMATH Keywords

\(q\)-analoguemultiple harmonic series

Mathematics Subject Classification ID

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

Related Items (14)

Duality and (\(q\)-)multiple zeta values ⋮ The algebra of generating functions for multiple divisor sums and applications to multiple zeta values ⋮ A note on the sum of finite multiple harmonic q -series on r -( r + 1) indices ⋮ A \(q\)-analogue of symmetric multiple zeta value ⋮ Exact \(\mathcal{N} = 2^\ast\) Schur line defect correlators ⋮ Large \(N\) and large representations of Schur line defect correlators ⋮ Balanced multiple q-zeta values ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ A Dimension Conjecture for q-Analogues of Multiple Zeta Values ⋮ Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota–Baxter Algebras ⋮ On \(q\)-analogues of multiple zeta values ⋮ Derivations on the algebra of multiple harmonic \(q\)-series and their applications ⋮ Cyclotomic analogues of finite multiple zeta values ⋮ On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula

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