On Period of the Sequence of Fibonacci Polynomials Modulo m

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GÜLTEKİN İ., TAŞYURDU Y.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013 (SCI-Expanded)

• Publication Type: Article / Article
• Volume:
• Publication Date: 2013
• Doi Number: 10.1155/2013/731482
• Journal Name: DISCRETE DYNAMICS IN NATURE AND SOCIETY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Erzincan Binali Yildirim University Affiliated: Yes

Abstract

It is shown that the sequence obtained by reducing modulo.. 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 ((chi)(1) (1)(0)) is equal to the period of these sequences.