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arXiv · 1709.10189

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

Paul Jenkins·Ryan Keck·Eric Moss
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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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Paul Jenkins, Ryan Keck, Eric Moss. 2017-09-28. Congruences for coefficients of level 2 modular functions with poles at 0. https://arxiv.org/abs/1709.10189

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