| Résume | Following Jacquet, Lapid and Rogawski, we define a regularized period of an automorphic form on GL(n+1)X GL(n) relative to GL(n), and we express it in terms of the zeta integral studied by Jacquet, Piatetski-Shapiro and Shalika. This extends the theory of the Rankin-Selberg integral representation for GL(n+1)X GL(n) to all automorphic forms on GL(n+1)X GL(n). This is a joint work with Atsushi Ichino. |
