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

Published 7 Jan 2018 in math.NT | (1801.02212v1)

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

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