On the Positive Moments of Ranks of Partitions

[摘要] By introducing $k$-marked Durfee symbols, Andrews found a combinatorial interpretation of the $2k$-th symmetrized moment $\eta_{2k}(n)$ of ranks of partitions of $n$ in terms of $(k+1)$-marked Durfee symbols of $n$. In this paper, we consider the $k$-th s

[学科分类] 离散数学和组合数学

[关键词] rank of a partition;$k$-marked Durfee symbol;moment of ranks