Automorphic forms for triangle groups: Integrality properties

2014/07/14 by Movasati, Hossein, Shokri, Khosro M. · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1407.3515

Abstract

We classify all primes appearing in the denominators of the Hauptmodul J and modular forms for non-arithmetic triangle groups with a cusp. These primes have a congruence condition in terms of the order of the generators of the group. As a corollary we show that for the Hecke group of type (2,m,∞), the prime p does not appear in the denominator of J if and only if p≡ ± 1\pmod m.

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