[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.
Disciplines :
Mathematics
Author, co-author :
Medina, Luis
Rowland, Eric ; Université de Liège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
p-regularity of the p-adic valuation of the Fibonacci sequence
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