Quantum unique ergodicity for Eisenstein series on Bruhat-Tits buildings

被引：0
|
作者：
Kaneko, Ikuya [1 ]
Koyama, Shin-ya [2 ]
机构：
[1] CALTECH, Div Phys Math & Astron, 1200 East Calif Blvd, Pasadena, CA 91125 USA
[2] Toyo Univ, Dept Mech Engn, 2100 Kujirai, Kawagoe, Saitama 3508585, Japan
来源：
JOURNAL OF NUMBER THEORY | 2025年 / 269卷
关键词：
Quantum unique ergodicity; Eisenstein series; Function fields; Level aspect; VALUES;
D O I：
10.1016/j.jnt.2024.09.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the quantum unique ergodicity conjecture for Eisenstein series over function fields in the level aspect. Adapting the machinery of Luo and Sarnak (1995), we employ the spectral decomposition and handle the cuspidal and Eisenstein contributions separately. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：440 / 459
页数：20
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