Congruences for generalized Apéry numbers and Gaussian hypergeometric series

Abstract

in his irrationality proof of ζ (3) and ζ (2), respectively. Since their appearance, mathematicians started lookingmore closely at these numbers and foundmany interesting properties satisfied by them. Chowla et al. [11] were first to consider congruence properties for the Apéry numbers. They proved many interesting congruence relations for the Apéry numbers… (More)

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