On some congruences involving Apéry-like numbers Sn

DOI10.1080/10236198.2023.2186714OpenAlexW4323354669MaRDI QIDQ5888301

Danrui Li, Xinmin Ma, Guo-Shuai Mao

Publication date: 24 April 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2023.2186714

zbMATH Keywords

congruencesEuler numbersharmonic numbersApéry-like numbers

Mathematics Subject Classification ID

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)

Uses Software

• SIGMA

Cites Work

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• Multivariate Apéry numbers and supercongruences of rational functions
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• Another congruence for the Apéry numbers
• Super congruences and Euler numbers
• On two congruences involving Apéry and Franel numbers
• Proof of two conjectural supercongruences involving Catalan-Larcombe-French numbers
• Congruences involving Bernoulli and Euler numbers
• Symbolic summation assists combinatorics
• Some Congruences for Generalized Euler Numbers
• Super congruences for two Apéry-like sequences
• On some congruences involving Domb numbers and harmonic numbers
• On two supercongruences involving Almkvist-Zudilin sequences
• Proof of some conjectural congruences modulo p³
• Congruences involving binomial coefficients and Apery-like numbers
• CONGRUENCES FOR THE TH APÉRY NUMBER

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