Simultaneous nonvanishing of Dirichlet $L$-functions and twists of Hecke-Maass L-functions

Soumya Das, Rizwanur Khan

We prove that given a Hecke-Maass form $f$ for $\text{SL}(2,\mathbb{Z})$ and a sufficiently large prime $q$, there exists a primitive Dirichlet character $\chi$ of conductor $q$ such…