Abstract
Let, for any n ≥ 0,.R. Apéry’s proof of the irrationality of ζ(2) and ζ(3) made use of these numbers (see [10]). As a result, many properties of the Apéry numbers were found (see [l]-[9]). In particular, Beukers and Stienstra showed the interesting congruence (see [11, Theorem 13.1]).
Publisher
Cambridge University Press (CUP)
Cited by
16 articles.
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1. Supercongruences involving products of three binomial coefficients;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-06-13
2. Supercongruences involving Apéry-like numbers and binomial coefficients;AIMS Mathematics;2022
3. Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures;Operator Theory: Advances and Applications;2021
4. Another Proof of a Supercongruence Conjecture of Z.-W. Sun;Proceedings of the National Academy of Sciences, India Section A: Physical Sciences;2020-04-02
5. SUPERCONGRUENCES INVOLVING -ADIC GAMMA FUNCTIONS;Bulletin of the Australian Mathematical Society;2018-05-30