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arXiv · 0912.0173

Congruences via modular forms

Robert Osburn·Brundaban Sahu
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Abstract

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.

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Robert Osburn, Brundaban Sahu. 2009-12-01. Congruences via modular forms. https://doi.org/10.1090/s0002-9939-2010-10771-2

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