Robert Osburn, Brundaban Sahu
Published 2009-12-01, updated 2010-09-02Version 2
We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica. Additionally, we provide a table of congruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apery-like differential equations.
Comments: 8 pages, revised version, to appear in Proceedings of the AMS
Journal: Proceedings of the AMS, 139, no. 7, (2011) 2375-2381
Congruences involving $\binom{4k}{2k}$ and $\binom{3k}k$
Congruences involving generalized central trinomial coefficients
Congruences involving $\binom{2k}k^2\binom{4k}{2k}m^{-k}$
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