In the study of substitutative dynamical systems and Pisot number systems, an algebraic condition, which we call 'weak finiteness', plays a fundamental role. It is expected that all Pisot numbers would have this property. In this paper, we prove some basic facts about 'weak finiteness'. We show that
On a property of Pisot numbers and related questions
β Scribed by Y. Bugeaud
- Publisher
- Akadmiai Kiad
- Year
- 1996
- Tongue
- English
- Weight
- 267 KB
- Volume
- 73
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
Let F be a Held and F[x] the ring of polynomials in an indeterminate .\ over F. Let, J.l l1(F). Al l1 (F[x]) denote the algebras of n x II matrices over F. F[x]. respectively. and GL(u, F). GL{.r:, F[x]) their corresponding groups of units. Given A(x). B(x) E .~11/(F[xJ). we say that A(s). H(x) arc
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