p-regularity of the p-adic valuation of the Fibonacci sequence

Medina, Luis; Rowland, Eric

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p-regularity of the p-adic valuation of the Fibonacci sequence

Medina, Luis; Rowland, Eric

2015 • In Fibonacci Quarterly, 53 (3), p. 265-271

Peer reviewed

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https://hdl.handle.net/2268/185411

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Keywords :

Fibonacci sequence; valuation; regular sequence

Abstract :

[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

Publication date :

August 2015

Journal title :

Fibonacci Quarterly

ISSN :

0015-0517

Publisher :

Fibonacci Association, United States - California

Volume :

Issue :

Pages :

265-271

Peer reviewed :

Peer reviewed

Available on ORBi :

since 01 September 2015

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