高原科学与可持续发展研究院

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青海省数学学会

                                      学 术 报 告

报告题目：Linked partition ideals and Schur's 1926 partition theorem

报告人：陈小航  Dalhousie University

时间：2022年4月30日（星期六）上午9：00-12: 00

腾讯会议ID:615342945

报告摘要：Issai Schur's famous 1926 partition theorem states that the number of partitions of $n$ into distinct parts congruent to $\pm 1$ modulo $3$ is the same as the number of partitions of $n$ such that every two consecutive parts have difference at least $3$ and that no two consecutive multiples of $3$ occur as parts. In this talk, we consider some variants of Schur's theorem, especially their Andrews--Gordon type generating functions, from the perspective of span one linked partition ideals introduced by George Andrews. Our investigation has interesting connections with basic hypergeometric series, $q$-difference equations, computer algebra, and so on.

简历：陈小航，现于加拿大Dalhousie University任Killam Postdoctoral Fellow，合作导师为Karl Dilcher教授。博士毕业于美国Pennsylvania State University，师从美国两院院士、前美国数学会主席George E. Andrews教授。研究专长：数论、组合数学、特殊函数；近期工作主要集中在整数分拆领域。已在《Journal of Combinatorial Theory, Series A》、《Journal of Number Theory》、《Discrete Mathematics》、《Ramanujan Journal》、《Acta Arithmetica》等组合与数论方向的高水平期刊发表学术论文多篇，并在Combinatory Analysis 2018、Analytic and Combinatorial Number Theory: The Legacy of Ramanujan等国际会议以及美国数学学会Joint Mathematics Meetings和Sectional Meetings上作报告。