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The shape of the Ford domains for \(\Gamma_0(N)\). (English) Zbl 0916.11024

The author describes a very explicit technique to calculate the number of sides of the Ford domains for the congruence subgroup \[ \Gamma_0(N)= \left\{\begin{pmatrix} a& b \\ c& d \end{pmatrix}\in \text{SL}(2,\mathbb Z) \mid c\equiv 0\bmod N\right\} \] of the modular group \(\text{SL}(2,\mathbb Z)\).

MSC:

11F06 Structure of modular groups and generalizations; arithmetic groups
20H10 Fuchsian groups and their generalizations (group-theoretic aspects)
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