An additive application of the resonance method

Date/heure
15 mai 2025
14:30 - 15:30

Lieu
Salle Döblin

Oratrice ou orateur
Athanasios Sourmelidis (CNRS, Lille)

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


Résumé

In this talk I will describe a way to implement the resonance method in problems of analytic number theory which are not necessarily multiplicative in nature.
This extension of the method not only produces improved extreme results wherever Dirichelt’s approximation theorem has been usually employed but it also highlights its connection to Bohr’s and Jessen’s proof of Kronecker’s approximation theorem.