一、题目：

Quadratic twists of modular L-functions

二、主讲人：

Xiannan Li

三、摘要：

The behavior of quadratic twists of modular L-functions is at the critical point is related both to coefficients of half integer weight modular forms and data on elliptic curves. Here we describe a proof of an asymptotic for the second moment of this family of L-functions, previously available conditionally on the Generalized Riemann Hypothesis by the work of Soundararajan and Young. Our proof depends on deriving an optimal large sieve type bound.

四、主讲人简介：

Xiannan Li is faculty at Kansas State University.

五、邀请人：

黄炳荣

六、时间：

3月30日（周四）10:00-11:00

七、地址：

Zoom meeting

八、联系人：

黄炳荣，联系方式：brhuang@sdu.edu.cn

九：主办：

山东大学数学学院