Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917879065083904 |
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| author | Kaneko, Ikuya Koyama, Shin-ya |
| author_facet | Kaneko, Ikuya Koyama, Shin-ya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09327 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings Kaneko, Ikuya Koyama, Shin-ya Number Theory 58J51 (primary), 11F12, 81Q50 (secondary) 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. |
| title | Quantum Unique Ergodicity for Eisenstein Series on Bruhat-Tits Buildings |
| topic | Number Theory 58J51 (primary), 11F12, 81Q50 (secondary) |
| url | https://arxiv.org/abs/2303.09327 |