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Abstract We study the growth of the number of conjugacy classes of infinite dihedral subgroups of lattices in PSL₂R, generalizing the earlier work of Sarnak 9 and Bourgain–Kontorovich 4 on the growth of the number of reciprocal geodesics on the modular surface. We also prove that reciprocal geodesics are equidistributed in the unit tangent bundle.
Erlandsson et al. (Thu,) studied this question.