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

Paul Jenkins, Ryan Keck, Eric Moss

Published 2017-09-28Version 1

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 $\infty$.