Quantum ergodicity of Eisenstein series for Bianchi groups
Number Theory
2026-03-18 v1
Abstract
We prove the quantum ergodicity of Eisenstein series on the arithmetic hyperbolic 3-manifold , where is an imaginary quadratic field with ring of integers and class number . This extends the work of Koyama, who proved the result in the case , and establishes the first instance of quantum ergodicity of Eisenstein series over number fields with nontrivial class groups.
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Cite
@article{arxiv.2603.16518,
title = {Quantum ergodicity of Eisenstein series for Bianchi groups},
author = {Doyon Kim and Youngmin Lee},
journal= {arXiv preprint arXiv:2603.16518},
year = {2026}
}
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23 pages