一、题目

Asymptotic for the Cubic Moment of Maass Form L-Functions

二、主讲人

齐治

三、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 with error term and Lindelöf-on-average bound on the short window for as small as. Ivić's results are improved in my recent work; in particular, Ivić's conjectured error term 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.

四、主讲人简介

齐治，浙江大学百人研究员。从事解析数论与表示论的研究，主要工作是高秩Bessel函数与复数域上Bessel函数的分析理论及其在数论与表示论中的应用。多篇论文已发表在一些国际重要的学术刊物，如IMRN，J. Funct. Anal.，J. Eur. Math. Soc.，Amer. J. Math.，Trans. Amer. Math. Soc.，Mem. Amer. Math. Soc.等。

五、邀请人

黄炳荣

六、时间

3月9日（周三）15:00-16:00

七、地点

腾讯会议ID：358-9878-8585

八、主办方

山东大学数学学院