New aspects of the resonance method

par Athanasios Sourmelidis (Université de Lille, CNRS)

lundi 13 janv. 2025, 11:00 → 12:00 Europe/Paris

Salle Grisvard, IHP, Paris

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 Dirichlet'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.