'Etienne Fouvry

activity

20122026

most citedMalle's conjecture for nonic Heisenberg extensions

6 citations · 10 across the 5 of their papers we have counts for

collaborators

8 papers

math.NT2026

Toroidal families and averages of $L$ -functions, II: cubic moments

Étienne Fouvry, Emmanuel Kowalski, Philippe Michel +1

Generalizing our previous work on ``toroidal averages'', we study the average of special values of $L$ -functions of the form $L (1/2, χ^{a}) L (1/2, χ^{b}) L (1/2, χ^{c})$ for integers $a$ , $b$ …

math.NT2021★ 6 cited

Malle's conjecture for nonic Heisenberg extensions

Étienne Fouvry, Peter Koymans

We prove Malle's conjecture for nonic Heisenberg extensions over $Q$ . Our main algebraic result shows that the number of nonic Heisenberg extensions over $Q$ with…

math.NT2020

Multiplicative functions in large arithmetic progressions and applications

Étienne Fouvry, Gérald Tenenbaum

We establish new Bombieri-Vinogradov type estimates for a wide class of multiplicative arithmetic functions and derive several applications, including: a new proof of a recent esti…

math.NT2020★ 1 cited

On Dirichlet biquadratic fields

Étienne Fouvry, Peter Koymans

We study the $4$ -rank of the ideal class group of $K_{n} := Q (- n, n)$ . Our main result is that for a positive proportion of the squarefree integers $n$ we have…

math.NT2018★ 1 cited

Another application of Linnik's dispersion method

Étienne Fouvry, Maksym Radziwiłł

Let $α_{m}$ and $β_{n}$ be two sequences of real numbers supported on $[M, 2 M]$ and $[N, 2 N]$ with $M = X^{1/2 - δ}$ and $N = X^{1/2 + δ}$ . We show that there exists a $δ_{0} > 0$ such t…

math.NT2018

Level of distribution of unbalanced convolutions

Étienne Fouvry, Maksym Radziwiłł

We show that if an essentially arbitrary sequence supported on an interval containing $x$ integers, is convolved with a tiny Siegel-Walfisz-type sequence supported on an interval c…

math.NT2013

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions

Étienne Fouvry, Satadal Ganguly, Emmanuel Kowalski +1

We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues…

math.NT2012★ 2 cited

An inverse theorem for Gowers norms of trace functions over prime fields

Étienne Fouvry, Emmanuel Kowalski, Philippe Michel

We prove estimates for the Gowers uniformity norms of functions over $\Zz/p\Zz$ which are trace functions of certain $ℓ$ -adic sheaves, and establish in particular a strong inver…