A note on the second moment of automorphic L-functions

H. M. Bui

doi:10.1112/S002557930900028X

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.

Original language	English
Pages (from-to)	35-44
Journal	Mathematika
Volume	56
Issue number	1
Early online date	10 Dec 2009
DOIs	https://doi.org/10.1112/S002557930900028X
Publication status	Published - Jan 2010

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A note on the second moment of automorphic L-functions

Abstract

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