A new proof of the duality of multiple zeta values and its generalizations

DOI10.1142/S1793042119500702zbMath1443.11183arXiv1806.04679WikidataQ128513076 ScholiaQ128513076MaRDI QIDQ5223034

Shuji Yamamoto, Shin-ichiro Seki

Publication date: 4 July 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04679

zbMATH Keywords

dualitymultiple zeta valuessum formulaOhno's relation\(q\)-multiple zeta values

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

Proving dualities for \(q\)MZVs with connected sums ⋮ Connectors of the Ohno relation for parametrized multiple series ⋮ Duality of one-variable multiple polylogarithms and their \(q\)-analogues ⋮ Iterated integrals on products of one variable multiple polylogarithms ⋮ Derivations on the algebra of multiple harmonic \(q\)-series and their applications ⋮ Ohno-type identities for multiple harmonic sums ⋮ Multivariable connected sums and multiple polylogarithms ⋮ The connector for the double Ohno relation

Cites Work

• Multiple harmonic series
• A generalization of the duality and sum formulas on the multiple zeta values
• Multiple \(q\)-zeta values
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