On the fourth moment of Hecke Maass forms and the Random Wave Conjecture
Number Theory
2019-02-20 v2
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.
Cite
@article{arxiv.1606.06703,
title = {On the fourth moment of Hecke Maass forms and the Random Wave Conjecture},
author = {Jack Buttcane and Rizwanur Khan},
journal= {arXiv preprint arXiv:1606.06703},
year = {2019}
}