Congruences for coefficients of level 2 modular functions with poles at 0

Published 28 Sep 2017 in math.NT | (1709.10189v1)

Abstract: We give congruences modulo powers of 2 for the Fourier coefficients of certain level 2 modular functions with poles only at 0, answering a question posed by Andersen and the first author. The congruences involve a modulus that depends on the binary expansion of the modular form's order of vanishing at $\infty$.

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