Seminar第1816期 一个q-变形的模形式

创建时间:  2019/05/05  谭福平   浏览次数:   返回

报告主题:一个q-变形的模形式
报告人:郭军伟 教授 (淮阴师范学院)
报告时间:2019年5月7日(周二)8:45
报告地点:校本部G507
邀请人:王晓霞

报告摘要:There are many instances known when the Fourier coefficients of modular forms are congruent to partial sums of hypergeometric series. In our previous work, such partial sums are related to the radial asymptotics of infinite q-hypergeometric sums at roots of unity. In this talk we combine the two features to construct a hypergeometric q-deformation of two CM modular forms of weight 3 and discuss the corresponding q-congruences. We also propose several related conjectures. This is a joint work with Wadim Zudilin.

 

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