汇报标题(Title)：Andrews-Beck partition statistics（Andrews-Beck 分拆统计量）
汇报人 (Speaker)：毛仁荣 副教授 信阳大学
汇报功夫（Time）：2023年10月14日 15:00
汇报地址 (Place)：校本部A123
约请人(Inviter)：陈旦旦
主办部门：理学院数学系
汇报提要：
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.
