Affine Sieve
Number Theory
2011-09-30 v1 Group Theory
Abstract
We establish the main saturation conjecture in [BGS10] connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This is carried out under the condition that the Zariski closure of the group is Levi-semisimple. It is likely that this condition is also necessary for such saturation to hold.
Keywords
Cite
@article{arxiv.1109.6432,
title = {Affine Sieve},
author = {Alireza Salehi Golsefidy and Peter Sarnak},
journal= {arXiv preprint arXiv:1109.6432},
year = {2011}
}