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arXiv · 2003.06643

Divisibility properties of factors of the discriminant of generalized Fibonacci numbers

Yao-Qiang Li
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Abstract

We study some divisibility properties related to the factors of the discriminant of the characteristic polynomial of generalized Fibonacci sequences $(G_n)_{n\ge0}$ defined by $G_0=0$, $G_1=1$ and $G_n=pG_{n-1}+qG_{n-2}$ for $n\ge2$, where $p,q$ are given integers. As corollaries, we give some divisibility properties on some well known sequences.

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Yao-Qiang Li. 2020-03-14. Divisibility properties of factors of the discriminant of generalized Fibonacci numbers. https://arxiv.org/abs/2003.06643

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