Empirically Determined Apéry-Like Formulae for ζ(4n+3)
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Publication:4376775
DOI10.1080/10586458.1997.10504608zbMath0887.11037arXivmath/0505124OpenAlexW2784466303MaRDI QIDQ4376775
Jonathan M. Borwein, David M. Bradley
Publication date: 25 May 1998
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505124
Related Items
“Divergent” Ramanujan-type supercongruences ⋮ Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3) ⋮ Infinite series identities derived from the very well-poised \(\Omega\)-sum ⋮ A \(q\)-analogue of the Bailey-Borwein-Bradley identity ⋮ Integral representations of some series involving \({\binom {2k}k}^{-1} k^{-n}\) and some related series. ⋮ \(p\)-adic congruences motivated by series ⋮ New properties of multiple harmonic sums modulo 𝑝 and 𝑝-analogues of Leshchiner’s series ⋮ Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae ⋮ Fast evaluation of multiple zeta sums ⋮ Series representations in the spirit of Ramanujan ⋮ On one method for fast approximation of zeta constants by rational fractions ⋮ More congruences for central binomial coefficients ⋮ Selected Applications of LLL in Number Theory ⋮ Further Apéry-like series for Riemann zeta function ⋮ Recurrence equation and integral representation of Apéry sums ⋮ A bivariate generating function for zeta values and related supercongruences ⋮ Alternating series of Apéry-type for the Riemann zeta function. ⋮ On the series \(\sum_{k=1}^\infty \binom {3k}{k}^{-1} k^{-n}x^k\)
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