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arXiv · 2406.05890

Kepler Sets of Second-Order Linear Recurrence Sequences Over $\mathbb{Q}_p$

Rishi Kumar
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Abstract

Let $(a_n)_{n=0}^\infty$ be a second-order linear recurrence sequence with constant coefficients over the field of $p$-adic numbers $\mathbb{Q}_p$. We study the set of limit points of the sequence of consecutive ratios $(a_{n+1}/a_{n})_{n=0}^\infty$ in $\mathbb{Q}_p$.

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Rishi Kumar. 2024-06-09. Kepler Sets of Second-Order Linear Recurrence Sequences Over $\mathbb{Q}_p$. https://arxiv.org/abs/2406.05890

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