Rank of overpartitions, mock theta functions, proofs of Chan’s conjecture

05.05.2022  12:00
主  讲  人  : 崔素平        教授

活动时间: 05月07日09时30分       

地            点  : 腾讯会议 442-637-540

讲座内容:

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

主讲人介绍:

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 AustralianMathematical Society》等重要期刊发表或接受发表论文17 篇。

发布时间:2022-05-05 10:52:28