Speaker: Zhou Haigang, Professor, Doctoral Supervisor, School of Mathematical Sciences, Tongji University

Date: May 12, 2023

Time: 9:15-10:15

Location: Zhixin Building, Block B, 924

Sponsor: School of Mathematics, Shandong University

Abstract:

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.

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https://www.view.sdu.edu.cn/info/1020/179111.htm