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arXiv · 1801.02212

The fifth moment of Hecke L-functions in the weight aspect

Rizwanur Khan
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Abstract

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 tends to infinity. The bound is sharp on Selberg's eigenvalue conjecture.

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Rizwanur Khan. 2018-01-07. The fifth moment of Hecke L-functions in the weight aspect. https://doi.org/10.1017/s0305004118000944

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