A New Series Representation for ζ(3)

DOI10.2307/2324688zbMath0737.11020OpenAlexW2056132542MaRDI QIDQ3982591

Ewell, John A.

Publication date: 26 June 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324688

zbMATH Keywords

Riemann zeta-functionrapidly convergent series representationzeta (3)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (10)

Some series representations of \(\zeta(2n+1)\) ⋮ Some families of series representations for the Riemann \(\zeta(3)\) ⋮ Two series which generalize Dirichlet’s lambda and Riemann’s zeta functions at positive integer arguments ⋮ Beyond the Basel problem: Euler’s derivation of the general formula for ζ (2n) ⋮ Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\) ⋮ Unnamed Item ⋮ Certain classes of series associated with the Zeta and related functions. ⋮ New rapidly convergent series representations for $\zeta (2n+1)$ ⋮ Some definite integrals associated with the Riemann zeta function ⋮ Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments

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