Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\)

DOI10.1007/s11139-018-0081-0zbMath1454.11228OpenAlexW2910666912MaRDI QIDQ2422047

Derek Orr, Cezar Lupu

Publication date: 18 June 2019

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

Full work available at URL: https://doi.org/10.1007/s11139-018-0081-0

zbMATH Keywords

Riemann zeta functionClausen integralApery's constantrational zeta series representations

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Elliptic functions and integrals (33E05) Evaluation of number-theoretic constants (11Y60) Multiple sequences and series (40B99)

Related Items (2)

Series representations and asymptotically finite representations for the numbers \(\zeta (2m + 1)\) and \(\beta (2m)\) ⋮ Deposition, diffusion, and nucleation on an interval

Cites Work

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