New variants of arithmetic quantum ergodicity
Number Theory
2025-06-26 v2
Abstract
We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual Hecke-Maass newforms over as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all restrictions of Hilbert (respectively Bianchi) Hecke-Maass cusp forms to the modular surface dissipate as their Laplace eigenvalues grow.
Cite
@article{arxiv.2403.14591,
title = {New variants of arithmetic quantum ergodicity},
author = {Peter Humphries and Jesse Thorner},
journal= {arXiv preprint arXiv:2403.14591},
year = {2025}
}
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31 pages