Duality relations among multiple series with three parameters

DOI10.2140/TUNIS.2020.2.217zbMath1472.11237OpenAlexW2943376058MaRDI QIDQ1999650

Masahiro Igarashi

Publication date: 27 June 2019

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/tunis.2020.2.217

zbMATH Keywords

dualitymultiple seriesextended multiple zeta valuemultiple Hurwitz zeta value

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• A generalization of Ohno's relation for multiple zeta values
• New expressions of Hasse and Hermite formulas for the Hurwitz zeta function
• Multiple harmonic series
• A generalization of the duality and sum formulas on the multiple zeta values
• The algebra of multiple harmonic series
• An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series
• Multiple zeta values, Padé approximation and Vasilyev's conjecture
• Note on relations among multiple zeta-star values
• The Arakawa-Kaneko zeta function

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