Chatzakos, D;
Petridis, Y;
(2016)
The hyperbolic lattice point problem in conjugacy classes.
Forum Mathematicum
, 28
(5)
pp. 981-1003.
10.1515/forum-2015-0102.
Preview |
Text
Petridis_forum-2015-0102.pdf Download (562kB) | Preview |
Abstract
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conjugacy classes, which is a modification of the classical hyperbolic lattice point problem. We use large sieve inequalities for the Riemann surfaces Γ∖ℍ to obtain average results for the error term, which are conjecturally optimal. We give a new proof of the error bound O(X2/3), due to Good. For SL2(ℤ) we interpret our results in terms of indefinite quadratic forms.
Type: | Article |
---|---|
Title: | The hyperbolic lattice point problem in conjugacy classes |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1515/forum-2015-0102 |
Publisher version: | http://dx.doi.org/10.1515/forum-2015-0102 |
Language: | English |
Additional information: | Copyright © 2016 by Walter de Gruyter GmbH. |
Keywords: | Lattice points; hyperbolic space; geodesic arcs |
UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
URI: | https://discovery.ucl.ac.uk/id/eprint/1477487 |
Archive Staff Only
View Item |