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

Abstract

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