On the Fürstenberg closure of a class of binary recurrences

dc.contributor.author	Broughan, Kevin A.
dc.contributor.author	Luca, Florian
dc.date.accessioned	2010-02-21T23:28:48Z
dc.date.available	2010-02-21T23:28:48Z
dc.date.issued	2010
dc.description.abstract	In this paper, we determine the closure in the full topology over Z of the set {un: n≥0}, where (un)n≥0 is a nondegenerate binary recurrent sequence with integer coefficients whose characteristic roots are quadratic units. This generalizes the result for the case when un=Fn was the nth Fibonacci number.	en
dc.format.mimetype	application/pdf
dc.identifier.citation	Broughan, K. A. & Luca, F. (2010). On the Fürstenberg closure of a class of binary recurrences. Journal of Number Theory, 130(3), 696-706.	en
dc.identifier.doi	10.1016/j.jnt.2009.10.008	en
dc.identifier.uri	https://hdl.handle.net/10289/3629
dc.language.iso	en
dc.publisher	Elsevier	en_NZ
dc.relation.isPartOf	Journal of Number Theory	en_NZ
dc.rights	This is an author’s accepted version of an article published in the journal: Journal of Number Theory. ©2010 Elsevier Inc.	en
dc.subject	full topology	en
dc.subject	binary recurrence sequences	en
dc.subject	primitive divisors	en
dc.title	On the Fürstenberg closure of a class of binary recurrences	en
dc.type	Journal Article	en
pubs.begin-page	696	en_NZ
pubs.elements-id	34718
pubs.end-page	706	en_NZ
pubs.issue	3	en_NZ
pubs.volume	130	en_NZ