Date/heure
20 novembre 2025
14:30 - 15:30
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Rashi Lunia (Max Plank Institute)
Catégorie d'évènement Séminaire de Théorie des Nombres de Nancy-Metz
Résumé
In this talk, we will report on a joint work with Sanoli Gun,
where we study extreme values of $L$-functions attached to quadratic twists of Dirichlet characters.
We show that for any $\epsilon >0$ and Dirichlet character $F$ of odd conductor $q$, not necessarily a primitive form,
there exists at least $X^{1-\epsilon}$ fundamental discriminants $8d$ with $X< d \le 2X$ and $(d, 2q) =1$
such that $|L(1/2, F \otimes \chi_{8d})|$ takes large values.