Corentin Perret-Gentil

collaborators

4 papers

math.NT2019

Roots of $L$ -functions of characters over function fields, generic linear independence and biases

Corentin Perret-Gentil

We first show joint uniform distribution of values of Kloosterman sums or Birch sums among all extensions of a finite field $F_{q}$ , for almost all couples of arguments in $…

math.NT2018

The average number of subgroups of elliptic curves over finite fields

Corentin Perret-Gentil

By adapting the technique of David, Koukoulopoulos and Smith for computing sums of Euler products, and using their interpretation of results of Schoof à la Gekeler, we determine th…

math.NT2018

Joint distribution of inverses in matrix groups over finite fields

Corentin Perret-Gentil

We study the joint distribution of the solutions to the equation $g h = x$ in $G (F_{p})$ as $p \to \infty$ , for any fixed $x \in G (Z)$ , where $G = GL_{n}$ , $\o…

math.NT2018

A note on the dimension of the largest simple Hecke submodule

Sandro Bettin, Corentin Perret-Gentil, Maksym Radziwiłł

For $k \geq 2$ even, let $d_{k, N}$ denote the dimension of the largest simple Hecke submodule of $S_{k} (Γ_{0} (N); Q)^{new}$ . We show, using a simple analytic method, that…

Roots of L-functions of characters over function fields, generic linear independence and biases

The average number of subgroups of elliptic curves over finite fields

Joint distribution of inverses in matrix groups over finite fields

A note on the dimension of the largest simple Hecke submodule

Roots of $L$ -functions of characters over function fields, generic linear independence and biases