Supercongruences via Modular Forms

نویسندگان

  • ROBERT OSBURN
  • BRUNDABAN SAHU
چکیده

We prove two supercongruences 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 supercongruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apéry-like differential equations.

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تاریخ انتشار 2009