Relative Trace Formula, Subconvexity and Quantitative Nonvanishing of Rankin-Selberg $L$-functions for $\mathrm{GL}(n+1)\times \mathrm{GL}(n)$

Liyang Yang

We establish hybrid subconvexity bounds and quantitative simultaneous nonvanishing for Rankin--Selberg $L$-functions on $\mathrm{GL}(n+1)\times \mathrm{GL}(n)$ over $\mathbb{Q}$. For…