一、题目：

Explicit computation of Fourier coefficients of Siegel Eisenstein series of degree two weight two

二、主讲人：

周海港

三、摘要：

Eisenstein series have played an important role in the theory of modular forms. In the case of Siegel modular forms, the research on Eisenstein series is far from well-developed. In this talk, for Siegel modular forms of degree two weight two, we construct a basis of its subspace of Siegel Eisenstein series of square-free level N, and compute their Fourier coefficients explicitly. In addition, we connect the theta series from Yoshida lifting associated to Eichler orders with Siegel Eisenstein series. Those Fourier coefficients are related to the modified Hurwitz class number introduced by us.

四、主讲人简介：

周海港，同济大学数学科学学院教授，博士生导师。研究方向是数论与模形式，涉及Jacobi形式、二次型和四元代数等理论。主持多项国家自然科学基金项目，作为参与人获教育部2011年度高等学校科学研究优秀成果奖自然科学二等奖。

五、邀请人：

吕广世 数学学院教授

六、时间：

5月12日（周五）9:15-10:15

七、地点：

中心校区知新楼B座924报告厅

八、主办：

山东大学数学学院