Mixed character sums

par Besfort Shala (University of Bristol, Royaume-Uni)

lundi 8 déc. 2025, 15:30 → 16:30 Europe/Paris

Salle Yvette Cauchois (IHP - Bâtiment Perrin)

I will talk about a distributional result for 'mixed character sums', which are exponential sums with multiplicative coefficients given by values of a Dirichlet character. As a deterministic application, we construct polynomials with $\pm 1$ coefficients with large Mahler measure, establishing a new record in Mahler's problem. This is joint work with Jonathan W. Bober and Oleksiy Klurman.