Inhomogeneous approximation with coprime integers and lattice orbits
Number Theory
2011-10-26 v1 Dynamical Systems
Abstract
We obtain variants of the classical Minkowski Theorem on inhomogeneous approximation where we require moreover that the solutions be coprime integers. We link the subject with density exponents of lattice orbits in the real plane.
Cite
@article{arxiv.1110.5467,
title = {Inhomogeneous approximation with coprime integers and lattice orbits},
author = {Michel Laurent and Arnaldo Nogueira},
journal= {arXiv preprint arXiv:1110.5467},
year = {2011}
}