A note on the second moment of automorphic L-functions

Details A note on the second moment of automorphic L-functions A note on the second moment of automorphic L-functions

2009-03-24

arxiv.org/abs/0903.4003v3

Mathematika 56 (2010), 35--44

Mathematics

Number Theory

9 pages

Scientific paper

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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