Simultaneous non-vanishing of central values of $GL(2)\times GL(3)$ and $GL(3)$ $L$-functions

Gopal Maiti, Kummari Mallesham

We study simultaneous non-vanishing of $L(\tfrac{1}{2},\di)$ and $L(\tfrac{1}{2},g\otimes \di)$, when $\di$ runs over an orthogonal basis of the space of Hecke-Maass cusp forms for…