Hyperbolic lattice point problems
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- Proc. Amer. Math. Soc. 139 (2011), 451-459 Request permission
Abstract:
We prove some analogues of planar lattice point problems replacing $\mathbb {R}^2$ 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.References
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Additional Information
- Fernando Chamizo
- Affiliation: Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain
- Address at time of publication: Department of Mathematics, Rutgers University-Hill Center for the Mathematical Sciences, Piscataway, New Jersey 08854-8019
- Email: fernando.chamizo@uam.es
- Received by editor(s): February 1, 2010
- Received by editor(s) in revised form: April 6, 2010
- Published electronically: August 13, 2010
- Additional Notes: This work was supported by the Ministerio de Ciencia e Innovación (grant MTM2008-03880).
- Communicated by: Matthew A. Papanikolas
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 451-459
- MSC (2000): Primary 11P21, 11L05
- DOI: https://doi.org/10.1090/S0002-9939-2010-10536-1
- MathSciNet review: 2736328