On period of the sequence of Fibonacci polynomials modulo \(m\) (Q1956105)
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scientific article; zbMATH DE number 6175114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On period of the sequence of Fibonacci polynomials modulo \(m\) |
scientific article; zbMATH DE number 6175114 |
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On period of the sequence of Fibonacci polynomials modulo \(m\) (English)
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13 June 2013
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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.
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