Height growth on semisimple groups
Number Theory
2016-01-05 v2
Abstract
A condition is given, under which a general lattice point counting function is asymptotic to the corresponding ball volume growth function. This is then used to give height asymptotics in the style of the Batyrev-Manin Conjecture for certain intrinsically defined heights on semisimple groups.
Keywords
Cite
@article{arxiv.1512.07452,
title = {Height growth on semisimple groups},
author = {Anton Deitmar and Rupert McCallum},
journal= {arXiv preprint arXiv:1512.07452},
year = {2016}
}