Rankin-Selberg integrals for SO2n+1 x GL(r) attached to newforms and oldforms

摘要

The conjectural newform theory for generic representations of p-adic SO2n+1 was formulated by P.-Y. Tsai in her thesis in which Tsai also verified the conjecture when the representations are supercuspidal. The main purpose of this work is to compute the Rankin-Selberg integrals for SO(2n+1)xGL(r) with 1 <= r <= n attached to newforms and also oldforms under the validity of the conjecture.