Quotients of $L$-functions: degrees $n$ and $n-2$

Ravi Raghunathan

If $L(s,\pi )$ and $L(s,\rho )$ are the Dirichlet series attached to cuspidal automorphic representations $\pi$ and $\rho$ of ${\mathrm{GL}}_n({\mathbb{A}}_{\mathbb{Q}})$ and ${\rm GL}_{n-2}({\mathbb…