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Lattice point problems in the hyperbolic plane

Chatzakos, D; (2016) Lattice point problems in the hyperbolic plane. Doctoral thesis, UCL (University College London). Green open access

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Abstract

In this thesis we investigate two different lattice point problems in the hyperbolic plane, the classical hyperbolic lattice point problem and the hyperbolic lattice point problem in conjugacy classes. In order to study these problems we use tools from the harmonic analysis on the hyperbolic plane H.

Type: Thesis (Doctoral)
Title: Lattice point problems in the hyperbolic plane
Event: Department of Mathematics
Open access status: An open access version is available from UCL Discovery
Language: English
Keywords: automorphic forms, lattice counting, analytic number theory, harmonic analysis
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/1521768
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