Name
Abstract | ||
|---|---|---|
The multi-continued fraction expansion C(r@?) of a multi-formal Laurent series r@? is a sequence pair (h@?,a@?) consisting of an index sequence h@? and a multi-polynomial sequence a@?. We denote the set of the different indices appearing infinitely many times in h@? by H"~, the set of the different indices appearing in h@? by H"+, and call |H"~| and |H"+| the first and second levels of C(r@?), respectively. In this paper, it is shown how the dimension and basis of the linear space over F(z) (F) spanned by the components of r@? are determined by H"~ (H"+), and how the components are linearly dependent on the mentioned basis. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ffa.2007.04.003 | Finite Fields and Their Applications |
Keywords | Field | DocType |
index sequence h,different index,sequence pair,multi-formal laurent series,multi-polynomial sequence,multi-continued fraction expansion,linear space,continued fraction expansion,indexation | Combinatorics,Linear independence,Continued fraction,Algebra,Linear space,Laurent series,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 2 | 1071-5797 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zong-duo Dai | 1 | 203 | 25.53 |
| Ping Wang | 2 | 0 | 0.34 |