Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions

DOI10.1016/j.jnt.2014.02.025zbMath1353.11045OpenAlexW2044481667MaRDI QIDQ740376

Paul Thomas Young

Publication date: 2 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.025

zbMATH Keywords

Hurwitz zeta functionEuler sumsBernoulli polynomialspoly-Bernoulli polynomialsBarnes zeta functionsArakawa-Kaneko zeta functions

Mathematics Subject Classification ID

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

Related Items (13)

Some results on multiple polylogarithm functions and alternating multiple zeta values ⋮ Global series for height 1 multiple zeta functions ⋮ Generalizations of poly-Bernoulli and poly-Cauchy numbers ⋮ Generalized harmonic numbers and Euler sums ⋮ Absolute series for higher Euler constants ⋮ The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials ⋮ Inverse binomial series and values of Arakawa-Kaneko zeta functions ⋮ On shifted Mascheroni series and hyperharmonic numbers ⋮ Explicit relations between multiple zeta values and related variants ⋮ Duality formulas for Arakawa-Kaneko zeta values and related variants ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function ⋮ MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS ⋮ The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent

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