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

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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.

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Correspondence to Goran Djanković.

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This work was partially supported by Ministry of Science, Republic of Serbia, Project no. 174008.

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Djanković, G. The sixth moment of the family of Γ1(q)-automorphic L-functions. Arch. Math. 97, 535–547 (2011).

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Mathematics Subject Classification (2010)