%0 Journal Article %A Shih-Yu Chen %A Yao Cheng %T On Deligne's Conjecture for Certain Automorphic $L$-Functions for $\mathrm{GL}(3)\times\mathrm{GL}(2)$ and $\mathrm{GL}(4)$ %J Documenta mathematica %D 2019 %P 2241-2297 %V 24 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/725/ %R 10.4171/dm/725 %F 10_4171_dm_725