Reference : p-regularity of the p-adic valuation of the Fibonacci sequence
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/185411
p-regularity of the p-adic valuation of the Fibonacci sequence
English
Medina, Luis [> >]
Rowland, Eric mailto [Université de Liège > Département de mathématique > Mathématiques discrètes >]
Aug-2015
Fibonacci Quarterly
53
3
265-271
Yes
International
0015-0517
[en] Fibonacci sequence ; valuation ; regular sequence
[en] We show that the p-adic valuation of the sequence of Fibonacci numbers is a p-regular sequence for every prime p. For p≠2,5, we determine that the rank of this sequence is α(p)+1, where α(m) is the restricted period length of the Fibonacci sequence modulo m.
http://hdl.handle.net/2268/185411

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