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A NOTE ON THE SECOND MOMENT OF AUTOMORPHIC L-FUNCTIONS

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  10 December 2009

H. M. Bui
H. M. Bui*
Affiliation:
Mathematical Institute, University of Oxford, Oxford, OX1 3LB, U.K. (email: hung.bui@maths.ox.ac.uk)
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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

Secondary: 11M06: $zeta (s)$ and $L(s, chi)$

Information

Type
Research Article
Information
Mathematika , Volume 56 , Issue 1 , January 2010 , pp. 35 - 44
Copyright
Copyright © University College London 2010

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References

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