On period of the sequence of Fibonacci polynomials modulo \(m\)
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.
scientific article; zbMATH DE number 6175114