Article ID Journal Published Year Pages File Type
4583506 Finite Fields and Their Applications 2008 17 Pages PDF
Abstract

We prove that almost all (with respect to Haar measure) formal Laurent series are approximated with the linear order −(degβ)n by their β-expansions convergents. Hausdorff dimensions of sets of Laurent series which are approximated by all other orders, are determined. In contrast, the corresponding theory of real case has not been established.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory