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arXiv · 0903.4003

A note on the second moment of automorphic L-functions

H. M. Bui
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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.

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H. M. Bui. 2009-09-26. A note on the second moment of automorphic L-functions. https://doi.org/10.1112/s002557930900028x

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