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A NOTE ON THE SECOND MOMENT OF AUTOMORPHIC L-FUNCTIONS

Published online by Cambridge University Press:  10 December 2009

H. M. Bui*
Affiliation:
Mathematical Institute, University of Oxford, Oxford, OX1 3LB, U.K. (email: [email protected])
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Abstract

We obtain the formula for the twisted harmonic second moment of the L-functions associated with primitive Hecke eigenforms of weight 2. A consequence of our mean-value theorem is reminiscent of recent results of Conrey and Young on the reciprocity formula for the twisted second moment of Dirichlet L-functions.

MSC classification

Type
Research Article
Copyright
Copyright © University College London 2010

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References

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