Supercongruences involving Apéry-like numbers and Bernoulli numbers

2024/03/28 by Liu, Ji-Cai
#11A07 #11B65 #11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.19503

Abstract

We establish supercongruences for two kinds of Apéry-like numbers, which involve Bernoulli numbers and Bernoulli polynomials. Conjectural supercongruences of the same type for another four kinds of Apéry-like numbers are also proposed.

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