Junxian Li: Non-vanishing of twists of L-functions

Abstract:

I will discuss ongoing work with Xiannan Li and Yongxiao Lin in which we show that for a fixed \(SL(3, \mathbb Z)\) Hecke–Maass cusp form \(\pi\), there are infinitely many primitive Dirichlet characters \(\chi\) such that \(L(1/2, \pi\otimes \chi)\) and \(L(1/2, \chi)\) do not vanish simultaneously.