Corentin Perret-Gentil

activity

20162019

most citedGaussian distribution of short sums of trace functions over finite fields

14 citations · 25 across the 5 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

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…