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A certain finiteness property of Pisot number systems
- Source :
-
Journal of Number Theory . Jul2004, Vol. 107 Issue 1, p135-160. 26p. - Publication Year :
- 2004
-
Abstract
- 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 this property is valid for cubic Pisot units and for Pisot numbers of higher degree under a dominant condition. [Copyright &y& Elsevier]
- Subjects :
- *FINITE, The
*ALGEBRA
*MATHEMATICS
*UNITS of measurement
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 107
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 13236171
- Full Text :
- https://doi.org/10.1016/j.jnt.2004.02.001