The unbounded denominator conjecture for the noncongruence subgroups of index 77

preprint2020arXivOpen access

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.

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