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In this paper, over an arbitrary number field, we prove subconvexity boundsfor self-dual $\mathrm{GL}_3$ $L$-functions in the $t$-aspect and for self-dual$\mathrm{GL}_3 \times \mathrm{GL}_2$ $L$-functions in the $\mathrm{GL}_2$Archimedean aspect.

Subconvexity for $L$-Functions on $\mathrm{GL}_3$ over Number Fields