On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application

DOI10.5802/jtnb.1023zbMath1435.11043arXiv1604.00622OpenAlexW2963230569WikidataQ129711979 ScholiaQ129711979MaRDI QIDQ4614339

Hirofumi Tsumura, Masanobu Kaneko, Fumi Sakurai

Publication date: 31 January 2019

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00622

zbMATH Keywords

Genocchi numberspoly-Bernoulli numberspoly-Bernoulli polynomialsArakawa-Kaneko zeta-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

On the combinatorics of symmetrized poly-Bernoulli numbers ⋮ Bijective enumerations for symmetrized poly-Bernoulli polynomials ⋮ Lonesum decomposable matrices ⋮ REMARKABLE RELATIONS BETWEEN THE CENTRAL BINOMIAL SERIES, EULERIAN POLYNOMIALS, AND POLY-BERNOULLI NUMBERS, LEADING TO STEPHAN'S OBSERVATION ⋮ On Arakawa-Kaneko zeta-functions associated with \(\mathrm{GL}_2(\mathbb{C})\) and their functional relations ⋮ Symmetrized poly-Bernoulli numbers and combinatorics ⋮ Combinatorial proof of an identity on Genocchi numbers

Cites Work

• Poly-Bernoulli numbers
• Combinatorics of poly-Bernoulli numbers
• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Bernoulli Numbers and Zeta Functions
• The Arakawa-Kaneko zeta function
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