主講人：陳小航, Dalhousie University

時(shí)間：2021年12月7日9：30

地點(diǎn)：騰訊會(huì)議 968 633 378

舉辦單位：數(shù)理學(xué)院

主講人介紹：陳小航, 現(xiàn)為Dalhousie University 博士后, 導(dǎo)師為Karl Dilcher 教授。博士畢業(yè)于Pennsylvania State  University,師從美國(guó)科學(xué)院院士George Andrews教授。主要從事數(shù)論、組合數(shù)學(xué)以及特殊函數(shù)的研究，迄今在《Journal of  Combinatorial Theory, Series A》、《Journal of Number Theory》、《Discrete  Mathematics》、《Ramanujan Journal》、《Acta Arithmetica》等國(guó)際重要期刊發(fā)表學(xué)術(shù)論文多篇，并在Combinatory  Analysis 2018、Analytic and Combinatorial Number Theory: The Legacy of  Ramanujan等國(guó)際會(huì)議以及美國(guó)數(shù)學(xué)學(xué)會(huì)Joint Mathematics Meetings和Sectional Meetings上作報(bào)告。

內(nèi)容介紹：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.