English

The unbounded denominator conjecture for the noncongruence subgroups of index $7$

Number Theory 2020-07-13 v2

Abstract

We study modular forms for the minimal index noncongruence subgroups of the modular group. Our main theorem is a proof of the unbounded denominator conjecture for these groups, and we also provide a study of the Fourier coefficients of Eisenstein series for one of these minimal groups.

Keywords

Cite

@article{arxiv.2007.01336,
  title  = {The unbounded denominator conjecture for the noncongruence subgroups of index $7$},
  author = {Andrew Fiori and Cameron Franc},
  journal= {arXiv preprint arXiv:2007.01336},
  year   = {2020}
}