'Etienne Fouvry

collaborators

3 papers

math.NT2026

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

Ãtienne 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 $L (1/2, I ¨ ^{a}) L (1/2, I ¨ ^{b}) L (1/2, I ¨ ^{c})$ for integers $a$ , $…

math.NT2026

Bilinear forms with trace functions

Ãtienne Fouvry, Emmanuel Kowalski, Philippe Michel +1

We obtain non-trivial bounds for bilinear sums of trace functions below the PÃ³lya-Vinogradov range assuming only that the geometric monodromy group of the underlying ell-adic shea…

math.NT2024

Toroidal families and averages of L-functions, I

Ãtienne Fouvry, Emmanuel Kowalski, Philippe Michel

We initiate the study of certain families of $L$ -functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we eva…

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

Bilinear forms with trace functions

Toroidal families and averages of L-functions, I

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