Universal automorphic differential operators and a theory of special functions.
发布时间：2018-04-17 点击次数：
| 报告题目： | Universal automorphic differential operators and a theory of special functions. |
| 报 告 人： | 伊吹山 知義（大阪大学） |
| 报告时间： | 2018年05月11日 16:30--17:30 |
| 报告地点： | 理学院东北楼四楼报告厅（404） |
| 报告摘要： | Holomorphic automorphic differential operators on Siegel upper half space are important objects which have a lot of applications to number theory, but they are interesting as itself as a new theory of special functions, containing the classical theory of Gegenbauer functions. We construct explicitly the universal automorphic differential operator which is a source of all such operators. This is a ultimate generalization of generating function of Gegenbauer polynomials to many variables. We also explain the associated holonomic (integrable) system.
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