A note on poly-Bernoulli numbers and multiple zeta values

DOI10.1063/1.2841898zbMath1141.11012OpenAlexW1788362870MaRDI QIDQ5460055

Masanobu Kaneko

Publication date: 2 May 2008

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/20464

zbMATH Keywords

poly-Bernoulli numbersmultiple harmonic sumsspecial values of zeta-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41)

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On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations ⋮ REMARKABLE RELATIONS BETWEEN THE CENTRAL BINOMIAL SERIES, EULERIAN POLYNOMIALS, AND POLY-BERNOULLI NUMBERS, LEADING TO STEPHAN'S OBSERVATION ⋮ On generalized poly-Bernoulli numbers and related \(L\)-functions ⋮ Recurrence formulas for poly-Bernoulli polynomials ⋮ The Arakawa-Kaneko zeta function ⋮ Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions ⋮ Bernoulli and poly-Bernoulli polynomial convolutions and identities of p-adic Arakawa–Kaneko zeta functions ⋮ Recursion formulas for poly-Bernoulli numbers and their applications

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