On Period of the Sequence of Fibonacci Polynomials Modulo-Reference-Cited by-同舟云学术

On Period of the Sequence of Fibonacci Polynomials Modulo

Published:2013 Issue: Volume:2013 Page:1-3
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Gültekin İnci¹,Taşyurdu Yasemin²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey

2. Department of Mathematics, Faculty of Science and Letters, Erzincan University, 24000 Erzincan, Turkey

Abstract

It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic group generated with matrix is equal to the period of these sequences.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2013/731482.pdf

Reference5 articles.

1. On generalized Fibonacci and Lucas polynomials

2. Fibonacci Series Modulo m

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Boundedness, Convergence, and Oscillatory Results of Generalized Fibonacci‐Type and Fibonacci Ratio Recurrences;International Journal of Mathematics and Mathematical Sciences;2024-01

2. On Generalized Fibonacci Hybrinomials;Communications in Mathematics and Applications;2022-08-17

3. On the period and the order of appearance of the sequence of Fibonacci polynomials modulo m;Journal of Discrete Mathematical Sciences and Cryptography;2022-01-02

4. The arrowhead-Pell-random-type sequences;Notes on Number Theory and Discrete Mathematics;2018-03

5. The adjacency-Jacobsthal-Hurwitz sequences in groups;Communications in Algebra;2018-02-08