A note on the second moment of automorphic L-functions
classification
🧮 math.NT
keywords
momentsecondformulafunctionstwistedassociatedautomorphicconrey
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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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