On variants of symmetric multiple zeta-star values and the cyclic sum formula

DOI10.1007/s11139-020-00341-3zbMath1485.11131arXiv2001.03832OpenAlexW3127773908MaRDI QIDQ2052840

Hideki Murahara, Masataka Ono, Minoru Hirose

Publication date: 29 November 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03832

zbMATH Keywords

cyclic sum formulafinite multiple zeta(-star) valuessymmetric multiple zeta(-star) valuesmultiple zeta(-star) values

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (4)

Yamamoto's interpolation of finite multiple zeta and zeta-star values ⋮ \(t\)-adic symmetrization map on the harmonic algebra ⋮ 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

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• Algebraic setup of non-strict multiple zeta values
• Asymptotic relations for truncated multiple zeta values
• Multiple zeta-star values and multiple integrals
• Derivation and double shuffle relations for multiple zeta values

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