Double shuffle relations for refined symmetric multiple zeta values

DOI10.25537/dm.2020v25.365-380zbMath1448.11165arXiv1807.04747MaRDI QIDQ2187923

Minoru Hirose

Publication date: 3 June 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04747

zbMATH Keywords

multiple zeta valuesiterated integralsdouble shuffle relationssymmetric multiple zeta values

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

Finite and symmetric colored multiple zeta values and multiple harmonic \(q\)-series at roots of unity ⋮ Yamamoto's interpolation of finite multiple zeta and zeta-star values ⋮ Truncated \(t\)-adic symmetric multiple zeta values and double shuffle relations ⋮ SUPERCONGRUENCES OF MULTIPLE HARMONIC <i>q</i>-SUMS AND GENERALIZED FINITE/SYMMETRIC MULTIPLE ZETA VALUES ⋮ Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions ⋮ Weighted sum formulas for symmetric multiple zeta values

Cites Work

• Unnamed Item
• Double shuffle for finite multizetas and symmetrized multizetas
• Quasi-shuffle products
• A bound on the norm of overconvergent \(p\)-adic multiple polylogarithms
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• Finite real multiple zeta values generate the whole space Z
• Cyclotomic analogues of finite multiple zeta values
• Derivation and double shuffle relations for multiple zeta values

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