A note on the second moment of automorphic L-functions
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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.Keywords
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This publication has 3 references indexed in Scilit:
- The reciprocity law for the twisted second moment of Dirichlet L -functionsForum Mathematicum, 2010
- The non-vanishing of central values of automorphic L-functions and Landau-Siegel zerosIsrael Journal of Mathematics, 2000
- Mollification of the fourth moment of automorphic L-functions and arithmetic applicationsInventiones Mathematicae, 2000