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arXiv:1606.06703 [math.NT]AbstractReferencesReviewsResources

On the fourth moment of Hecke Maass forms and the Random Wave Conjecture

Jack Buttcane, Rizwanur Khan

Published 2016-06-21Version 1

Conditionally on the Generalized Lindel\"{o}f Hypothesis, we obtain an asymptotic for the fourth moment of Hecke Maass cusp forms of large Laplacian eigenvalue for the full modular group. This lends support to the Random Wave Conjecture.

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