Explicit double shuffle relations and a generalization of Euler's decomposition formula

DOI10.1016/j.jalgebra.2013.01.023zbMath1275.11122arXiv0808.2618OpenAlexW2963252572MaRDI QIDQ375230

Li Guo, Bing Yong Xie

Publication date: 29 October 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2618

zbMATH Keywords

multiple zeta valuesdouble shuffle relationEuler's decomposition formulamultiple polylogarithm values

Mathematics Subject Classification ID

Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (12)

Weighted sum formula for multiple zeta values ⋮ Shuffle product formulas of multiple zeta values ⋮ Sum relations from shuffle products of alternating multiple zeta values ⋮ Applications of shuffle product to restricted decomposition formulas for multiple zeta values ⋮ Parity result for \(q\)- and elliptic analogues of multiple polylogarithms ⋮ Polylogarithms and multiple zeta values from free Rota-Baxter algebras ⋮ Rota-Baxter algebras and left weak composition quasi-symmetric functions ⋮ The shuffle relation of fractions from multiple zeta values ⋮ Generalizations of Euler decomposition and their applications ⋮ Conical zeta values and their double subdivision relations ⋮ Commutative matching Rota-Baxter operators, shuffle products with decorations and matching Zinbiel algebras ⋮ On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula

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