a1 Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3-5, D-37073 Göttingen, Germany. e-mail: [email protected]
Fix g a Hecke–Maass form for SL3(). In the family of holomorphic newforms f of fixed weight and large prime level q, we find the average value of the product . From this we derive a result on the simultaneous non-vanishing of these L-functions at the central point.
(Received March 29 2011)
(Revised August 18 2011)
(Online publication December 12 2011)