Sector estimates for hyperbolic isometries
Number Theory
2010-01-27 v1 Representation Theory
Spectral Theory
Abstract
We prove various orbital counting statements for Fuchsian groups of the second kind. These are of independent interest, and also are used in the companion paper [BourgainKontorovich2009] to produce primes in the Affine Linear Sieve.
Cite
@article{arxiv.1001.4541,
title = {Sector estimates for hyperbolic isometries},
author = {Jean Bourgain and Alex Kontorovich and Peter Sarnak},
journal= {arXiv preprint arXiv:1001.4541},
year = {2010}
}
Comments
32 pages