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On a q-deformation of modular forms

Wednesday, May 8th, 2019, 3:00 PM  闵行统计楼105
报告人简介:郭军伟教授原是我校数学系教授,博士导师,现任职于淮阴师范学院。主要从事组合数学,q-级数和数论的研究,是中国组合数学界杰出的后起之秀。最近他利用单位根来证明q-同余式的新方法,可以用来处理很多q-同余式问题,是q-同余式方向的一个重要突破,其研究成果已经被著名的《Advances in Mathematics》发表,迄今他已在国际数学刊物上发表了80多篇论文。

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。

主持人:刘治国 教授
主办单位:数学科学学院 科技处
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