paper

The Inhomogeneous Hall's Ray

arXiv:1203.4295

Abstract

We show that the inhomogenous approximation spectrum, associated to an irrational number α always has a Hall's Ray; that is, there is an ε>0 such that [0,ε) is a subset of the spectrum. In the case when α has unbounded partial quotients we show that the spectrum is just a ray.

Fixed typos in bibliography