The paper establishes a new simultaneous level-aspect subconvexity range for self-dual GL(3)xGL(2) L-functions and a Lindelof average bound in the weight aspect.
Bettin, On the reciprocity law for the twisted second moment of Diric hlet L-functions, Trans
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First moments of ${\rm{GL}} (3) \times {\rm{GL}} (2)$ and ${\rm{GL}} (2)$ $L$-functions and their applications
The paper establishes a new simultaneous level-aspect subconvexity range for self-dual GL(3)xGL(2) L-functions and a Lindelof average bound in the weight aspect.