Approximation of points in the plane by generic lattice orbits
Number Theory
2016-06-29 v1
Abstract
We give upper and lower bounds for Diophantine exponents measuring how well a point in the plane can be approximated by points in the orbit of a lattice acting linearly on . Our method gives bounds that are uniform for almost all orbits.
Cite
@article{arxiv.1606.08540,
title = {Approximation of points in the plane by generic lattice orbits},
author = {Dubi Kelmer},
journal= {arXiv preprint arXiv:1606.08540},
year = {2016}
}