Zeta functions connecting multiple zeta values and poly-Bernoulli numbers

DOI10.2969/ASPM/08410181zbMath1476.11120arXiv1811.07736OpenAlexW3035676707MaRDI QIDQ2214495

Masanobu Kaneko, Hirofumi Tsumura

Publication date: 8 December 2020

Full work available at URL: https://arxiv.org/abs/1811.07736

zbMATH Keywords

polylogarithmmultiple zeta valuemultiple zeta functionpoly-Bernoulli number

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Zeta and (L)-functions: analytic theory (11M99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (14)

On Hoffman's \(t\)-values of maximal height and generators of multiple zeta values ⋮ EXPLICIT RELATIONS BETWEEN KANEKO-YAMAMOTO TYPE MULTIPLE ZETA VALUES AND RELATED VARIANTS ⋮ Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values ⋮ Two variants of Euler sums ⋮ Multiple \(T\)-values with one parameter ⋮ Dirichlet type extensions of Euler sums ⋮ Alternating multiple \(T\)-values: weighted sums, duality, and dimension conjecture ⋮ Generating function of multiple polylog of Hurwitz type ⋮ On poly-cosecant numbers ⋮ On multiple zeta values of level two ⋮ Explicit relations between multiple zeta values and related variants ⋮ Duality formulas for Arakawa-Kaneko zeta values and related variants ⋮ ON A WEIGHTED SUM OF MULTIPLE -VALUES OF FIXED WEIGHT AND DEPTH ⋮ Variants of multiple zeta values with even and odd summation indices

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