Strong wavefront lemma and counting lattice points in sectors
Number Theory
2019-02-18 v1 Group Theory
Abstract
We compute the asymptotics of the number of integral quadratic forms with prescribed orthogonal decompositions and, more generally, the asymptotics of the number of lattice points lying in sectors of affine symmetric spaces. A new key ingredient in this article is the strong wavefront lemma, which shows that the generalized Cartan decomposition associated to a symmetric space is uniformly Lipschitz.
Cite
@article{arxiv.0708.3188,
title = {Strong wavefront lemma and counting lattice points in sectors},
author = {Alexander Gorodnik and Hee Oh and Nimish Shah},
journal= {arXiv preprint arXiv:0708.3188},
year = {2019}
}