Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers

Ji-Cai Liu

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arXiv · 2403.19503

Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers

Ji-Cai Liu

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Abstract

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

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Ji-Cai Liu. 2024-03-28. Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers. https://arxiv.org/abs/2403.19503

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