The Inhomogeneous Hall's Ray
Number Theory
2012-05-08 v3
Abstract
We show that the inhomogenous approximation spectrum, associated to an irrational number \alpha\ always has a Hall's Ray; that is, there is an \epsilon>0 such that [0,\epsilon) is a subset of the spectrum. In the case when \alpha\ has unbounded partial quotients we show that the spectrum is just a ray.
Cite
@article{arxiv.1203.4295,
title = {The Inhomogeneous Hall's Ray},
author = {D. J. Crisp and W. Moran and A. D. Pollington},
journal= {arXiv preprint arXiv:1203.4295},
year = {2012}
}
Comments
Fixed typos in bibliography