2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209196In 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.Number TheoryBounds for $GL(3)\times GL(2)$ $L$-functions and GL(3) $L$-functionstext