报告人：齐治 （浙江大学）

题目：Asymptotic for the Cubic Moment of Maass Form L-Functions

摘要：In this talk, I will talk about the cubic moment of central L-values for Maass forms. It was studied by Aleksandar Ivić at the beginning of this century, obtaining asymptotic on the long interval [0, T] with error term $O(T^{8/7+\epsilon})$ and Lindelöf-on-average bound on the short window [T-M, T+M] for M as small as $T^{\epsilon}$. Ivić's results are improved in my recent work; in particular, Ivić's conjectured error term $O (T^{1+\epsilon})$ is proven. Our proof follows the standard Kuznetsov--Voronoi approach stemed from the work of Conrey and Iwaniec. Our main new idea is a combination of the methods of Xiaoqing Li and Young.

时间：2022-03-09

地点：腾讯会议，ID：358 9878 8585