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On the Fürstenberg closure of a class of binary recurrences
- Source :
-
Journal of Number Theory . Mar2010, Vol. 130 Issue 3, p696-706. 11p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, we determine the closure in the full topology over of the set , where is a nondegenerate binary recurrent sequence with integer coefficients whose characteristic roots are quadratic units. This generalizes the result for the case when was the nth Fibonacci number. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 130
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 47736630
- Full Text :
- https://doi.org/10.1016/j.jnt.2009.10.008