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arXiv · 2303.09327

Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings

Ikuya Kaneko·Shin-ya Koyama
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Abstract

We prove the quantum unique ergodicity conjecture for Eisenstein series over function fields in the level aspect. Adapting the machinery of Luo-Sarnak (1995), we employ the spectral decomposition and handle the cuspidal and Eisenstein contributions separately.

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Ikuya Kaneko, Shin-ya Koyama. 2023-03-16. Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings. https://doi.org/10.1016/j.jnt.2024.09.009

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