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arXiv · 1606.06703

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

Jack Buttcane·Rizwanur Khan
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Abstract

Conditionally on the Generalized Lindel\"of 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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Jack Buttcane, Rizwanur Khan. 2016-06-21. On the fourth moment of Hecke Maass forms and the Random Wave Conjecture. https://doi.org/10.1112/s0010437x17007199

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