Low Lying Zeros of Hecke $L$-Functions

par Ezra Waxman (Academic College of Engineering in Tel Aviv, Israël)

lundi 12 oct. 2026, 15:30 → 16:30 Europe/Paris

Salle Yvette Cauchois (IHP - Bâtiment Perrin)

The one-level density measures the statistical distribution of zeros across a family of $L$-functions near the central point. In this talk, I will present several results concerning the one-level density for families of $L$-functions associated to CM elliptic curves of the form $y^2=x^3-dx$. The talk will moreover discuss applications to bounding the average rank of such curves (joint work with Chantal David, Lucile Devin, and Alessandro Fazzari).