Étienne Fouvry

activity

20182025

most citedThe second moment theory of families of L-functions

14 citations · 15 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2025

Bilinear forms with trace functions

Étienne Fouvry, Emmanuel Kowalski, Philippe Michel +1

We obtain non-trivial bounds for bilinear sums of trace functions below the Pólya-Vinogradov range assuming only that the geometric monodromy group of the underlying ell-adic sheaf…

math.NT2024

Binary forms with the same value set III. The case of $D_{3}$ and $D_{6}$

Étienne Fouvry, Peter Koymans

Let $F, G \in Z [X, Y]$ be binary forms of degree $\geq 3$ with automorphism groups isomorphic to the dihedral group of cardinality $6$ or $12$ . We characterize exactly whe…

math.NT2024

Binary forms with the same value set II. The case of $D_{4}$

Étienne Fouvry, Peter Koymans

Let $F, G \in Z [X, Y]$ be binary forms of degree $\geq 3$ , non-zero discriminant and with automorphism group isomorphic to $D_{4}$ . If $F (Z^{2}) = G (Z^{2})$ , w…

math.NT2024★ 1 cited

Binary forms with the same value set I

Étienne Fouvry, Peter Koymans

Given a binary form $F \in Z [X, Y]$ , we define its value set to be ${F (x, y) : (x, y) \in Z^{2}}$ . Let $F, G \in Z [X, Y]$ be two binary forms of degree $…

math.NT2023

Number of integers represented by families of binary forms II: binomial forms

Étienne Fouvry, Michel Waldschmidt

We consider some families of binary binomial forms $a X^{d} + b Y^{d}$ , with $a$ and $b$ integers. Under suitable assumptions, we prove that every rational integer $m$ with $∣ m ∣ \geq 2$ is o…

math.NT2018★ 14 cited

The second moment theory of families of L-functions

Valentin Blomer, Étienne Fouvry, Emmanuel Kowalski +3

For a fairly general family of L-functions, we survey the known consequences of the existence of asymptotic formulas with power-sawing error term for the (twisted) first and second…

Bilinear forms with trace functions

Binary forms with the same value set III. The case of D3​ and D6​

Binary forms with the same value set II. The case of D4​

Binary forms with the same value set I

Number of integers represented by families of binary forms II: binomial forms

The second moment theory of families of L-functions

Binary forms with the same value set III. The case of $D_{3}$ and $D_{6}$

Binary forms with the same value set II. The case of $D_{4}$