On period of the sequence of Fibonacci polynomials modulo \(m\)
type: Item
instance of: scholarly article
title: On period of the sequence of Fibonacci polynomials modulo \(m\)
zbMATH Open document ID: 1264.11007
DOI: 10.1155/2013/731482
author: İnci Gültekin
author: Yasemin Taşyurdu
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: It is shown that the sequence obtained by reducing modulo \(m\) coefficient and exponent of each Fibonacci polynomials term is periodic. Also if \(p\) is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo \(p\). It is found that order of cyclic group generated with \(Q_2\) matrix \(\left( \begin{matrix} x & 1\\ 1 & 0 \end{matrix} \right)\) is equal to the period of these sequences.
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6175114
Wikidata QID: Q58921777
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/731482
OpenAlex ID: W2071316363
cites work: On generalized Fibonacci and Lucas polynomials
cites work: Q5181434
cites work: Q5661897
cites work: Q4007084
cites work: Fibonacci Series Modulo m
description: scientific article; zbMATH DE number 6175114