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arxiv: 1606.06703 · v2 · pith:535DPVQ5new · submitted 2016-06-21 · 🧮 math.NT

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

classification 🧮 math.NT
keywords conjectureformsfourthheckemaassmomentrandomwave
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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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