We prove an upper bound for the fifth moment of Hecke L-functions associated to holomorphic Hecke cusp forms of full level and weight k in a dyadic interval K ≤ k ≤2K, as K †'. The bound is sharp on Selberg's eigenvalue conjecture.
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Publication status||Accepted/In press - 1 Jan 2018|
- 11F03 (Primary)
- 11M99 (Secondary)
- 2010 Mathematics Subject Classification:
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