with an Appendix “L-Functions and Poles of Intertwining Operators”

Let G ̃ be a symplectic or even orthogonal group over a p-adic field F, and M the Levi factor of a maximal parabolic subgroup of G̃. Suppose that M has the shape of three blocks of the same size. Let π be a supercuspidal representation of M. In this paper, we give a simple explicit expression for the residue of the standard intertwining operator for the parabolic induction of π from M to G.