Robert Osburn, Brundaban Sahu
Published 2009-06-18, updated 2011-01-12Version 3
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.
Comments: 8 pages, revised version, to appear in Adv. in Appl. Math
Journal: Advances in Applied Mathematics, 47, no. 3, (2011) 631-638
Supercongruences for sums involving $\binom ak^m$
Supercongruences via Beukers' method
Supercongruences motivated by e
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