Further Apéry-like series for Riemann zeta function
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Publication:2037639
DOI10.1134/S0001434621010168zbMath1479.11138OpenAlexW3182562081MaRDI QIDQ2037639
Publication date: 8 July 2021
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434621010168
gamma functionRiemann zeta functionhypergeometric seriesbinomial coefficientBell polynomialharmonic number
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INFINITE SERIES CONCERNING HARMONIC NUMBERS AND QUINTIC CENTRAL BINOMIAL COEFFICIENTS ⋮ Infinite series about harmonic numbers inspired by Ramanujan-like formulae
Cites Work
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- Letter
- On the series \(\sum ^{\infty}_{k=1}\binom{2k}{k}^{-1}k^{-n}\) and related sums
- Dixon's \(_3F_2(1)\)-series and identities involving harmonic numbers and the Riemann zeta function
- A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
- Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $
- Discovering and Proving Infinite Binomial Sums Identities
- New series for some special values of $L$-functions
- Dougall’s bilateral ₂𝐻₂-series and Ramanujan-like 𝜋-formulae
- Experimental Determination of Apéry-like Identities for ς(2n + 2)
- Interesting Series Involving the Central Binomial Coefficient
- Hypergeometric series and the Riemann zeta function
- Empirically Determined Apéry-Like Formulae for ζ(4n+3)
- Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)
- Generalized harmonic number summation formulae via hypergeometric series and digamma functions
- Gauss's theorem and harmonic number summation formulae with certain mathematical constants
- Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae
- Hypergeometric approach to Apéry-like series
- INFINITE SERIES WITH HARMONIC NUMBERS AND CENTRAL BINOMIAL COEFFICIENTS
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