Supercongruences motivated by \(e\)
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Publication:472835
DOI10.1016/j.jnt.2014.07.013zbMath1339.11025arXiv1011.3487OpenAlexW2963874745MaRDI QIDQ472835
Publication date: 20 November 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3487
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)
Related Items (9)
Factors of some truncated basic hypergeometric series ⋮ Some \(q\)-supercongruences from Watson's \(_8\phi_7\) transformation formula ⋮ On \(q\)-congruences involving harmonic numbers ⋮ Divisibility results concerning truncated hypergeometric series ⋮ On some conjectural hypergeometric congruences ⋮ Proof of a conjectural supercongruence ⋮ Some congruences on harmonic numbers and binomial sums ⋮ On some conjectural supercongruences for sums involving certain rising factorials ⋮ Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
Cites Work
- Unnamed Item
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- On sums of Apéry polynomials and related congruences
- Hypergeometric evaluation identities and supercongruences
- More congruences for central binomial coefficients
- New congruences for central binomial coefficients
- Congruences concerning Bernoulli numbers and Bernoulli polynomials
- On Wolstenholme's theorem and its converse
- PROOF OF A CONGRUENCE FOR HARMONIC NUMBERS CONJECTURED BY Z.-W. SUN
- Arithmetic theory of harmonic numbers
- Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$
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