Hyperbolic lattice point problems

Fernando Chamizo
2011 Proceedings of the American Mathematical Society  
We prove some analogues of planar lattice point problems replacing R 2 by the Poincaré model of the hyperbolic plane and using the orbit of a point under the modular group instead of the lattice generated by integral translations.
doi:10.1090/s0002-9939-2010-10536-1 fatcat:rdxtgprjgbavzmjxasvgqheviq