Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall

DOI10.1090/S0025-5718-2013-02755-XzbMath1304.11093arXiv1203.5143OpenAlexW2065546388MaRDI QIDQ5401706

Mark W. Coffey

Publication date: 12 March 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5143

zbMATH Keywords

incomplete gamma functionHurwitz zeta functionRiemann zeta functionStieltjes constantsgeneralized hypergeometric functionconfluent hypergeometric functionseries representationBernoulli polynomialsEuler polynomials

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Evaluation of number-theoretic constants (11Y60) Analytic computations (11Y35)

Related Items (2)

Series representations for special functions and mathematical constants ⋮ On Dirichlet's lambda function

Uses Software

• Mathematica
• DLMF

Cites Work

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• Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
• Addison-type series representation for the Stieltjes constants
• The Generalized Integro-Exponential Function

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