Linear recurrent sequences and polynomial roots
✍ Scribed by Maurice Mignotte; Doru Ştefănescu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 123 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let F (z) ∈ R[z] be a polynomial with positive leading coefficient, and let α > 1 be an algebraic number. For r = deg F > 0, assuming that at least one coefficient of F lies outside the field Q(α) if α is a Pisot number, we prove that the difference between the largest and the smallest limit points
## a b s t r a c t We consider orderings of nested subspaces of the space of Laurent polynomials on the real line, more general than the balanced orderings associated with the ordered bases {1, z -1 , z, z -2 , z 2 , . . .} and {1, z, z -1 , z 2 , z -2 , . . .}. We show that with such orderings th