Rankin-Selberg L-functions via good sections

In this article, we revisit Rankin-Selberg integrals established by Jacquet, Piatetski-Shapiro and Shalika. We prove the equality of Rankin-Selberg local factors defined with Schwartz-Bruhat functions and the factors attached to good sections, introduced by Piatetski-Shapiro and Rallis. Moreover, we propose a notion of exceptional poles in the framework of good sections. For cases of Rankin-Selberg, Asai and exterior square L-functions, the exceptional poles are consistent with well-known exceptional poles which characterize certain distinguished representations.