The existence of $\protect \mathbb{F}_q$-primitive points on curves using freeness

Let $\mathcal{C}_Q$ be the cyclic group of order $Q$, $n$ a divisor of $Q$ and $r$ a divisor of $Q/n$. We introduce the set of $(r,n)$-free elements of $\mathcal{C}_Q$ and derive a lower bound for the number of elements $\theta \in \mathbb{F}_q$ for which $f(\theta )$ is $(r,n)$-free and $F(\theta )...

Full description

Bibliographic Details
Main Authors: Cohen, Stephen D., Kapetanakis, Giorgos, Reis, Lucas
Format: Article
Language:English
Published: Académie des sciences 2022-06-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.328/