Diophantine approximation with restricted numerators and denominators on semisimple groups
Dynamical Systems
2014-11-04 v2 Number Theory
Abstract
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with any prescribed denominator and an almost prime numerator.
Cite
@article{arxiv.1205.0416,
title = {Diophantine approximation with restricted numerators and denominators on semisimple groups},
author = {Alexander Gorodnik and Shirali Kadyrov},
journal= {arXiv preprint arXiv:1205.0416},
year = {2014}
}