Automorphic ${\mathrm{SL}}_2$-periods and the subconvexity problem for ${\mathrm{GL}}_2\times {\mathrm{GL}}_3$

Aprameyo Pal, Carlos de Vera-Piquero

We prove a new (conditional) result towards the subconvexity problem for certain automorphic $L$-functions for ${\mathrm{GL}}_2\times {\mathrm{GL}}_3$. This follows from the computati…