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Type: Article
On numbers n dividing the nth term of a linear recurrence
Abstract:
We give upper and lower bounds on the count of positive integers n <= x dividing the nth term of a non-degenerate linearly recurrent sequence with simple roots.
We give upper and lower bounds on the count of positive integers n <= x dividing the nth term of a non-degenerate linearly recurrent sequence with simple roots.
Keywords: Linear recurrence; Lucas sequence; divisibility
MSC: 11B37 (11A07 11N25)
Journal: Proceedings of the Edinburgh Mathematical Society (2)
ISSN: 0013-0915
Year: 2012
Volume: 55
Number: 2
Pages: 271--289
Created: 2012-12-07 11:49:36
Modified: 2014-02-13 11:56:10
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