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Simultaneous non-vanishing of GL(3) × GL(2) and GL(2) L-functions

Published online by Cambridge University Press:  12 December 2011

RIZWANUR KHAN
RIZWANUR KHAN*
Affiliation:
Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3-5, D-37073 Göttingen, Germany. e-mail: [email protected]
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 3 , May 2012 , pp. 535 - 553
Copyright
Copyright © Cambridge Philosophical Society 2011

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