报告题目(Title)：Andrews-Beck partition statistics（Andrews-Beck 分拆统计量）

报告人 (Speaker)：毛仁荣 副教授 苏州大学

报告时间（Time）：2023年10月14日 15:00

报告地点 (Place)：校本部A123

邀请人(Inviter)：陈旦旦

主办部门：理学院数学系

报告摘要：

Let $NT(m,k,n)$ (Andrews-Beck partition statistics) denote the total number of parts in the partitions of $n$ with rank congruent to $m$ modulo $k$. Andrews recently provided a $q$-series proof of congruences for $NT(m,k,n)$ modulo $5$ and $7$. Motivated by Andrews’ works, Andrews-Beck partition statistics are widely studied by many authors recently. In this talk, we give a brief introduction to these partition statistics.