p-Adic quotient sets: Linear recurrence sequences with reducible characteristic polynomials
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DOI: 10.4153/s0008439524000547
Abstract: Abstract Let $(x_n)_{n\geq 0}$ be a linear recurrence sequence of order $k\geq 2$ satisfying $$ \begin{align*}x_n=a_1x_{n-1}+a_2x_{n-2}+\dots+a_kx_{n-k}\end{align*} $$ for all integers $n\geq k$ , where $a_1,\dots ,a_k,x_0,\dots , x_{k-1}\in \mathbb {Z},$ with $a_k\neq 0$ . In… read more here.
Keywords: characteristic polynomials; linear recurrence; adic quotient; recurrence sequences ... See more keywords