数学研究所
学术报告
数论研讨班
报告人: 黄炳荣 教授 (山东大学)
题 目：Value distribution of Maass forms
时 间：2024.05.16（星期四）10：00-11：30
地 点：晨兴410
摘 要：In this talk, I will introduce the random wave conjecture for Maass forms on the modular surface, and present some results on the quantum unique ergodicity, the L^4 norm, and the cubic moment of Hecke-Maass cusp forms. I will also discuss the joint distribution of Maass forms. The proofs use the analytic theory of L-functions. (Based on joint work with Shenghao Hua and Liangxun Li.)
Title:Value distribution of Maass forms
Time & Venue: 2024.05.16（星期四）10：00-11：30 晨兴410
Abstract: In this talk, I will introduce the random wave conjecture for Maass forms on the modular surface, and present some results on the quantum unique ergodicity, the L^4 norm, and the cubic moment of Hecke-Maass cusp forms. I will also discuss the joint distribution of Maass forms. The proofs use the analytic theory of L-functions. (Based on joint work with Shenghao Hua and Liangxun Li.)