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Computations with finite index subgroups of using Farey Symbols
Chris A. Kurth, Ling Long
Finite index subgroups of the modular group are of great arithmetic importance. Farey symbols, introduced by Ravi Kulkarni in 1991, are a tool for working with these groups. Given…
math.NT2007
Finite index subgroups of the modular group and their modular forms
Ling Long
Classically, congruence subgroups of the modular group, which can be described by congruence relations, play important roles in group theory and modular forms. In reality, the majo…
math.NT2006
On modular forms for some noncongruence arithmetic subgroups
Chris Kurth, Ling Long
In this paper, we consider modular forms for finite index subgroups of the modular group whose Fourier coefficients are algebraic. It is well-known that the Fourier coefficients of…