The first moment of symmetric cube $L$-functions and applications

par Anders Södergren (Chalmers University of Technology, Suède)

lundi 23 nov. 2026, 14:00 → 15:00 Europe/Paris

Salle Yvette Cauchois (IHP - Bâtiment Perrin)

In this talk I will present joint work with Bingrong Huang in which we establish an asymptotic formula for the first moment of symmetric cube central $L$-values over Hecke-Maass forms in short spectral windows. Applications include a quantitative non-vanishing result and an almost-all Lindelöf bound.