Weyl sums with Multiplicative Coefficients and Joint Equidistribution

Date/heure
21 mars 2024
14:30 - 15:30

Lieu
Salle Döblin

Oratrice ou orateur
Cynthia Bortolotto (ETH Zurich)

Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz


Résumé

In 1964, Hooley proved that for an irreducible polynomial p in Z[x], the ratios v/n for v roots of the polynomial p modulo n, are equidistributed modulo 1. We prove joint equidistribution of these roots of polynomial congruences and polynomial values. As part of the proof, we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefficients to the setting of Weyl sums.