On the number of residues of certain second-order linear recurrences

For every monic polynomial $f \in \mathbb{Z}[X]$ with $\deg (f) \ge 1$, let $\mathcal{L}(f)$ be the set of all linear recurrences with values in $\mathbb{Z}$ and characteristic polynomial $f$, and let \begin{equation*} \mathcal{R}(f) :=\big \lbrace \rho (x; m) : x \in \mathcal{L}(f), \, m \in \math...

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Bibliographic Details
Main Authors: Accossato, Federico, Sanna, Carlo
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.647/
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