The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent

DOI10.1016/j.jnt.2015.01.022zbMath1320.11086OpenAlexW2000065060MaRDI QIDQ2347028

Paul Thomas Young

Publication date: 26 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.01.022

zbMATH Keywords

Hurwitz zeta functionharmonic numberspoly-Bernoulli polynomials\(p\)-adic analysisArakawa-Kaneko zeta functionsLerch transcendent

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (12)

From Madhava–Leibniz to Lehmer’s Limit ⋮ Some results on multiple polylogarithm functions and alternating multiple zeta values ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ Generalizations of poly-Bernoulli and poly-Cauchy numbers ⋮ A construction of \(p\)-adic Hurwitz-Lerch \(L\)-function ⋮ Absolute series for higher Euler constants ⋮ The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials ⋮ 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 ⋮ A note on harmonic number identities, Stirling series and multiple zeta values ⋮ Poly-\(p\)-Bernoulli polynomials and generalized Arakawa-Kaneko zeta function

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