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