Archiv der Mathematik

, Volume 97, Issue 6, pp 535–547 | Cite as

The sixth moment of the family of Γ1(q)-automorphic L-functions



In this paper we investigate the sixth moment of the family of L-functions associated to holomorphic modular forms on GL 2 with respect to a congruence subgroup Γ1(q). The bound for central values averaged over the family, consistent with the Lindelöf hypothesis, is obtained for prime levels q.

Mathematics Subject Classification (2010)

11M41 11F11 11F67 


Automorphic forms L-functions Moments 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia

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