Étienne Fouvry

activity

20222026

collaborators

4 papers

math.NT2026

Short sums of the Möbius function over function fields

Etienne Fouvry, Igor E. Shparlinski, Ping Xi

We develop a new method which allows us to estimate, with a power saving, sums of the M{ö}bius function over function fields $F_{p} (X)$ . The sums run over monic polynomials…

math.NT2026

Tridimensional character sums with polynomial arguments and applications

Étienne Fouvry, Igor E. Shparlinski, Ping Xi

Let $p$ be a large prime and $χ$ a non-trivial Dirichlet character modulo $p$ . We study the character sum \[ \sum_{a \sim A} \sum_{b \sim B} \sum_{c \sim C} α(a,b) β(c)χ(f(a) + bc)…

math.NT2024

Estimates for trilinear and quadrilinear character sums

Étienne Fouvry, Igor E. Shparlinski, Ping Xi

We obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new…

math.NT2022

On character sums with determinants

Étienne Fouvry, Igor E. Shparlinski

We estimate weighted character sums with determinants $a d - b c$ of $2 \times 2$ matrices modulo a prime $p$ with entries $a, b, c, d$ varying over the interval $[1, N]$ . Our goal is to…