Fix g a Hecke-Maass form for SL 3(ℤ). In the family of holomorphic newforms f of fixed weight and large prime level q, we find the average value of the product L(1/2,g × f)L(1/2,f). From this we derive a result on the simultaneous non-vanishing of these L-functions at the central point.
|Number of pages||19|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Published - May 2012|
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