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:永利数学系
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.