COMBINATORIAL PROOFS OF IDENTITIES FOR SPECIAL VALUES OF ARAKAWA-KANEKO MULTIPLE ZETA FUNCTIONS

DOI10.2206/kyushujm.72.215zbMath1429.11167OpenAlexW2811071207MaRDI QIDQ4577894

Yasuo Ohno, Naho Kawasaki

Publication date: 3 August 2018

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

Full work available at URL: https://doi.org/10.2206/kyushujm.72.215

zbMATH Keywords

multiple zeta valuesArakawa-Kaneko zeta functions2-posets

Mathematics Subject Classification ID

Algebraic aspects of posets (06A11) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

EXPLICIT RELATIONS BETWEEN KANEKO-YAMAMOTO TYPE MULTIPLE ZETA VALUES AND RELATED VARIANTS ⋮ Parametric Arakawa-Kaneko zeta function and Kaneko-Tsumura \(\eta \)-function ⋮ Zeta functions connecting multiple zeta values and poly-Bernoulli numbers ⋮ Interpolated multiple zeta functions of Arakawa-Kaneko type ⋮ Duality formulas for Arakawa-Kaneko zeta values and related variants ⋮ A note on Arakawa-Kaneko zeta values and Kaneko-Tsumura \(\eta\)-values ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values ⋮ Variants of multiple zeta values with even and odd summation indices

Cites Work

• A generalization of the duality and sum formulas on the multiple zeta values
• Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Multiple zeta-star values and multiple integrals

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