Levels of multi-continued fraction expansion of multi-formal Laurent series
| Autor: | Ping Wang, Zongduo Dai |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Sequence
Algebra and Number Theory InformationSystems_INFORMATIONSYSTEMSAPPLICATIONS Applied Mathematics Laurent series Linear space Mathematical analysis General Engineering ComputingMilieux_LEGALASPECTSOFCOMPUTING Basis (universal algebra) Theoretical Computer Science Combinatorics Dimension (vector space) m-CFA Multi-formal Laurent series Linear independence Level of m-continued fraction expansion Continued fraction Engineering(all) Mathematics |
| Zdroj: | Finite Fields and Their Applications. 14:438-455 |
| ISSN: | 1071-5797 |
| DOI: | 10.1016/j.ffa.2007.04.003 |
| Popis: | The multi-continued fraction expansion C([email protected]?) of a multi-formal Laurent series [email protected]? is a sequence pair ([email protected]?,[email protected]?) consisting of an index sequence [email protected]? and a multi-polynomial sequence [email protected]?. We denote the set of the different indices appearing infinitely many times in [email protected]? by H"~, the set of the different indices appearing in [email protected]? by H"+, and call |H"~| and |H"+| the first and second levels of C([email protected]?), 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 [email protected]? are determined by H"~ (H"+), and how the components are linearly dependent on the mentioned basis. |
| Databáze: | OpenAIRE |
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