Étienne Fouvry

collaborators

2 papers

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…