Inhomogeneous approximation by coprime integers
Number Theory
2012-02-28 v1
Abstract
This paper addresses a problem recently raised by Laurent and Nogueira about inhomogeneous Diophantine approximation with coprime integers. As a corollary of our main theorem we obtain an improvement of the best known exponent of approximation in this problem, from 1/2 to 1-epsilon, for any epsilon>0.
Cite
@article{arxiv.1202.5986,
title = {Inhomogeneous approximation by coprime integers},
author = {Alan Haynes},
journal= {arXiv preprint arXiv:1202.5986},
year = {2012}
}
Comments
12 pages