March 21, 2024Open Access

New variants of arithmetic quantum ergodicity

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Abstract

We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual GL₂ Hecke-Maass newforms over Q 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.

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Humphries et al. (Thu,) studied this question.

synapsesocial.com/papers/68e73196b6db6435876ab52a https://doi.org/https://doi.org/10.48550/arxiv.2403.14591

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