Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)

Yeongseong Jo, Santosh Nadimpalli, Akash Yadav

We prove that for any pair of irreducible principal series representations $(\ddot{I}{€}_1,\ddot{I}{€}_2)$ of ${\mathrm{GL}}_n(\mathbb{R})$ in general position, the notions of exceptional pole o…