On congruences involving Apéry numbers
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Publication:6043761
DOI10.1090/proc/16387zbMath1520.11031arXiv2212.09455MaRDI QIDQ6043761
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Publication date: 24 May 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.09455
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Cites Work
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- Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\)
- Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
- On sums of Apéry polynomials and related congruences
- On divisibility of sums of Apéry polynomials
- Two congruences concerning Apéry numbers conjectured by Z.-W. Sun
- Some congruences for Apery numbers
- Another congruence for the Apéry numbers
- On two congruences involving Apéry and Franel numbers
- Three supercongruences for Apery numbers and Franel numbers
- A Gaussian hypergeometric series evaluation and Apéry number congruences
- CONGRUENCES FOR THE TH APÉRY NUMBER
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