UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES

DOI10.1017/S0004972715000167zbMath1379.11076arXiv1310.1330OpenAlexW3101027358MaRDI QIDQ5253340

Jaime Castillo-Medina, Kurusch Ebrahimi-Fard, Dominique Manchon

Publication date: 5 June 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1330

zbMATH Keywords

basic hypergeometric functionsmultiple zeta values\(q\)-analoguedouble shuffleshuffle relation

Mathematics Subject Classification ID

Other basic hypergeometric functions and integrals in several variables (33D70) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (15)

Duality and (\(q\)-)multiple zeta values ⋮ 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 ⋮ The algebra of bi-brackets and regularized multiple Eisenstein series ⋮ Multiple Eisenstein Series and 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 ⋮ q-Analogues of Multiple Zeta Values and Their Application in Renormalization ⋮ On \(q\)-analogues of multiple zeta values ⋮ Derivations on the algebra of multiple harmonic \(q\)-series and their applications ⋮ On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values ⋮ Multiple \(q\)-zeta brackets ⋮ On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula ⋮ Renormalisation of \(q\)-regularised multiple zeta values

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• Algebraic relations for multiple zeta values
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• Derivation and double shuffle relations for multiple zeta values
• An Algebraic Identity
• Multiple zeta values: an introduction
• On \(q\)-analogues of Riemann's zeta function

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