On congruence equations arising from suborbital graphs
Bahadır Özgür Güler, Murat Beşenk, Serkan Kader · TURKISH JOURNAL OF MATHEMATICS · 2019
In this paper we deal with congruence equations arising from suborbital graphs of the normalizer of $\Gamma _{0}(m)$ in $PSL(2,\mathbb{R})$. We also propose a conjecture concerning the suborbital graphs of the normalizer and the related congruence equations. In order to prove the existence of solution of an equation over prime finite field, this paper utilizes the Fuchsian group action on the upper half plane and Farey graphs properties.