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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Hyperbolic lattice point problems


Author: Fernando Chamizo
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
Published electronically: August 13, 2010
MathSciNet review: 2736328
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-2010-10536-1
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
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.