| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4583265 | Finite Fields and Their Applications | 2008 | 21 Pages |
Abstract
In this paper, two types of general sets determined by partial quotients of continued fractions over the field of formal Laurent series with coefficients from a given finite field are studied. The Hausdorff dimensions of and are determined completely, where An(x) denotes the partial quotients in the continued fraction expansion (in case of Laurent series) of x and ϕ(n) is a positive valued function defined on natural numbers N.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
