Some families of series representations for the Riemann \(\zeta(3)\)
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Publication:1126951
DOI10.1007/BF03322082zbMath0908.11039OpenAlexW2038165880MaRDI QIDQ1126951
Ming-Po Chen, Hari M. Srivastava
Publication date: 18 March 1999
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03322082
(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Convergence and divergence of series and sequences of functions (40A30) Hurwitz and Lerch zeta functions (11M35)
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Cites Work
- Some new identities for \(\zeta(k)\).
- Riemann zeta function: Rapidly converging series and integral representations
- Modular transformations and generalizations of several formulae of Ramanujan
- Some series representations of \(\zeta(2n+1)\)
- On evaluation of the Dirichlet series at positive integers by \(q\)- calculation
- On the zeta function values \(\zeta (2k+1)\), \(k=1, 2, \dots\)
- Stirling numbers, central factorial numbers, and representations of the Riemann zeta function
- On Values of the Riemann Zeta Function at Integral Arguments
- A New Series Representation for ζ(3)
- Euler and the Zeta Function
- A simple reducible case of double hypergeometric series involving Catalan's constant and Riemann's ζ‐function
- New rapidly convergent series representations for $\zeta (2n+1)$
- Notes on Riemann's ζ-Function
- Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function
- Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function
- Some Series Involving the Riemann Zeta Function
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