Two series which generalize Dirichlet’s lambda and Riemann’s zeta functions at positive integer arguments

DOI10.47443/dml.2023.051OpenAlexW4386156456MaRDI QIDQ6063848

Lubomir P. Markov

Publication date: 12 December 2023

Published in: Discrete Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.47443/dml.2023.051

zbMATH Keywords

Euler sumsBorwein-Chamberland expansionsBorwein-Chamberland sumsEuler's series for \(\zeta(3)\)Ewell's theorem

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20)

Cites Work

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• Integer powers of arcsin
• Some series representations of \(\zeta(2n+1)\)
• Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments
• Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\)
• On Values of the Riemann Zeta Function at Integral Arguments
• A New Series Representation for ζ(3)
• Explicit evaluation of Euler sums

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