Congruences for coefficients of level 2 modular functions with poles at 0
Number Theory
2017-10-02 v1
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 .
Cite
@article{arxiv.1709.10189,
title = {Congruences for coefficients of level 2 modular functions with poles at 0},
author = {Paul Jenkins and Ryan Keck and Eric Moss},
journal= {arXiv preprint arXiv:1709.10189},
year = {2017}
}