An efficient algorithm for the Hurwitz zeta and related functions

DOI10.1016/J.CAM.2008.07.040zbMath1171.11047OpenAlexW1980327502MaRDI QIDQ1005995

Mark W. Coffey

Publication date: 17 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.040

zbMATH Keywords

algorithmHurwitz zeta functionRiemann zeta functionStieltjes constantsintegral representationpolygamma functiongeneralized harmonic numbersLerch zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)

Related Items (5)

Acceleration methods for series: a probabilistic perspective ⋮ Series acceleration via negative binomial probabilities ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Rigorous high-precision computation of the Hurwitz zeta function and its derivatives ⋮ Series with binomial-like coefficients for the Riemann zeta function

Cites Work

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• New results on the Stieltjes constants: asymptotic and exact evaluation
• A zero-density theorem for the Riemann zeta-function
• Some Relations and Values for the Generalized Riemann Zeta Function
• New summation relations for the Stieltjes constants
• Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants

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