CONGRUENCES FOR THE TH APÉRY NUMBER

DOI10.1017/S0004972718001156zbMath1479.11009OpenAlexW2903033095MaRDI QIDQ5380446

Chen Wang, Ji-Cai Liu

Publication date: 4 June 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718001156

zbMATH Keywords

Bernoulli numbercongruenceApéry number

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items

On some congruences involving Apéry-like numbers S_n, On congruences involving Apéry numbers, On three conjectural congruences of Z.-H. Sun involving Apéry and Apéry-like numbers, Two congruences concerning Apéry numbers conjectured by Z.-W. Sun, On two supercongruences involving Almkvist-Zudilin sequences

Cites Work

• Unnamed Item
• Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
• On sums of Apéry polynomials and related congruences
• Congruences involving generalized central trinomial coefficients
• On divisibility of sums of Apéry polynomials
• Some congruences for the Apéry numbers
• Some congruences for Apery numbers
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• An extension of a congruence by Tauraso
• Supercongruences for the Almkvist–Zudilin numbers
• Arithmetic properties of Apéry-like numbers
• CONGRUENCES SATISFIED BY APÉRY-LIKE NUMBERS
• Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$