Bounds for $GL(3)\times GL(2)$ $L$-functions and GL(3) $L$-functions

Abstract

In this paper, we will give the subconvexity bounds for self dual GL(3) $L-$functions in the $t$ aspect as well as subconvexity bounds for self dual $GL(3)\times GL(2)$ $L-$functions in the GL(2) spectral aspect.