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

collaborators

8 papers

math.NT2019★ 7 cited

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…

math.NT2017★ 1 cited

Exponential sums over finite fields and the large sieve

Corentin Perret-Gentil

By using a variant of Kowalski's large sieve for Frobenius in compatible systems, we obtain zero-density estimates for arguments of $ℓ$ -adic trace functions over finite fields w…

math.NT2016

Distribution questions for trace functions with values in cyclotomic integers and their reductions

Corentin Perret-Gentil

We consider $ℓ$ -adic trace functions over finite fields taking values in cyclotomic integers, such as characters and exponential sums. Through ideas of Deligne and Katz, we expl…

math.NT2016★ 14 cited

Gaussian distribution of short sums of trace functions over finite fields

Corentin Perret-Gentil

We show that under certain general conditions, short sums of $ℓ$ -adic trace functions over finite fields follow a normal distribution asymptotically when the origin varies, gene…

math.NT2016★ 3 cited

Integral monodromy groups of Kloosterman sheaves

Corentin Perret-Gentil

We show that integral monodromy groups of Kloosterman $ℓ$ -adic sheaves of rank $n \geq 2$ on $G_{m} / F_{q}$ are as large as possible when the characteristic $ℓ$ is…

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

Exponential sums over finite fields and the large sieve

Distribution questions for trace functions with values in cyclotomic integers and their reductions

Gaussian distribution of short sums of trace functions over finite fields

Integral monodromy groups of Kloosterman sheaves

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