逼近组合优化系列报告

报告题目：Rank of overpartitions, mock theta functions, proofs of Chan’s conjecture

报告人：崔素平 教授（青海师范大学数学与统计学院）

报告时间：2022年6月9日（周四）9:30-10:30

腾讯会议：964 146 293

摘要：In this paper, based on some q-series identities, we find four two-parameter mock theta functions in Eulerian forms which can be expressed in terms of Appell–Lerch sums. Then we establish some identities related to these functions and the universal mock theta function g2(x, q). Furthermore, by means of an identity given by Liu and some properties of Appell–Lerch sums, we derive four radial limit results related to these functions.

报告人简介：崔素平，中共党员，青海师范大学教授。青海省数学会副秘书长。曾获南开大学优秀毕业生、钟家庆数学奖等荣誉称号。一直从事组合及其应用等方向的研究, 主要涉及同余式、仿 theta 函数、分拆的秩等。在《Advances in Mathematics》、《Advances in Applied Mathematics》、《The Ramanujan Journal》、《International Journal of Number Theory》、《Journal of the Australian Mathematical Society》等重要期刊发表或接受发表论文17 篇。