邀请人：陈永高 教授 & 戴丽霞 教授
地点： 腾讯会议号421 813 474 密码 12345
摘要：In mathematics, a q-analogue of a theorem, identity or expression is a generalization involving a new parameter q that returns the original theorem, identity or expression in the limit as q approaches 1 . The earliest q-analogue studied in detail is the basic hypergeometric series, which was introduced in the 19th century by E. Heine. q-analogues are most frequently studied in the mathematical fields of combinatorics, special functions and number theory. q-analogues also appear in the study of quantum groups and in q-deformed superalgebras. It is well-known that if a complex function is analytic at origin, then it can be expanded uniquely into a power series, and it is also known that an analytic function can also be expanded into some series of rational functions. In this talk I will discuss the philosophy of seeking q-extensions of rational functions and give a q-rational series expansion formula. Some applications are discussed.
报告人简介：
刘治国，华东师范大学教授，博士生导师。在q-级数，Theta 函数及Ramanujan遗留的诸多数论问题上有深入广泛的研究。刘治国教授是一位有着传奇经历的数学家，他1983年大学毕业以后，没有再接受过进一步的学校教育。但他凭着坚持不懈的努力，在数论和特殊函数论的研究中取得了令人瞩目的研究成果，曾率先提出q-偏微分方程的概念并将q-偏微分方程应用到q-级数的研究中。他曾被英国皇家学会破格授予“王宽诚皇家学会研究奖学金”。美国科*女王调教-女王调教视频-女王 调教小说院士George Andrews教授盛赞他“发展了令人称奇的数学方法”。迄今已经在Advances in Mathematics, Transactions of AMS, IMRN等国际著名数学刊物上发表研究论文60多篇。