Identities for the Hurwitz zeta function, gamma function, and \(L\)-functions

DOI10.1007/s11139-013-9468-0zbMath1290.11121arXiv1206.1992OpenAlexW2107904630MaRDI QIDQ2441396

Michael O. Rubinstein

Publication date: 24 March 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1992

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionGamma functionsummation formulaDirichlet L-functionsDirichlet eta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)

Related Items (8)

Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Polylogarithmic zeta functions and their p-adic analogues ⋮ Unnamed Item ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ Symmetries of Bernoulli polynomial series and Arakawa-Kaneko zeta functions ⋮ Rational series for multiple zeta and log gamma functions ⋮ Arithmetical properties of double Möbius-Bernoulli numbers ⋮ The \(p\)-adic Arakawa-Kaneko zeta functions and \(p\)-adic Lerch transcendent

Cites Work

• Unnamed Item
• Identities for the Riemann zeta function
• Convergence acceleration of series through a variational approach
• A Matrix Representation for Euler's Constant, &#947
• Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers Via Euler's Transformation of Series
• Computational methods and experiments in analytic number theory
• Number Theory

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