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Supercongruences for Apery-like numbers

Robert Osburn and Brundaban Sahu
Arxiv ID: 0906.3413Last updated: 2/3/2021
It is known that the numbers which occur in Apery's proof of the irrationality of zeta(2) have many interesting congruence properties while the associated generating function satisfies a second order differential equation. We prove supercongruences for a generalization of numbers which arise in Beukers' and Zagier's study of integral solutions of Apery-like differential equations.

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