论文标题
Andrews-Beck类型一致性的变化
Variations of Andrews-Beck type congruences
论文作者
论文摘要
由于安德鲁斯(Andrews)的一致性(m,k,n)$,分区中$ n $的零件总数均为$ n $的总数以及等级的零件总数,因此我们证明了最近结果的三种变化。我们还猜想了$ NT(M,K,N)$的新一致性和关系以及相关的曲柄型功能。
We prove three variations of recent results due to Andrews on congruences for $NT(m,k,n)$, the total number of parts in the partitions of $n$ with rank congruent to $m$ modulo $k$. We also conjecture new congruences and relations for $NT(m,k,n)$ and for a related crank-type function.