论文标题
不同的分区和一些Q二项式求和身份
Distinct Partitions and Some q-Binomial Summation Identities
论文作者
论文摘要
The partition functions $P(n,m,p)$, the number of integer partitions of $n$ into exactly $m$ parts with each part at most $p$, and $Q(n,m,p)$, the number of integer partitons of $n$ into exactly $m$ distinct parts with each part at most $p$, are related by double summation identities which follow from their generating functions.从这些身份和一些早期论文中的某些身份中，证明了涉及不同分区和一些Q-binomial求和身份的其他一些身份，并且从这些身份得到了一些组合身份。
The partition functions $P(n,m,p)$, the number of integer partitions of $n$ into exactly $m$ parts with each part at most $p$, and $Q(n,m,p)$, the number of integer partitons of $n$ into exactly $m$ distinct parts with each part at most $p$, are related by double summation identities which follow from their generating functions. From these identities and some identities from an earlier paper, some other identities involving distinct partitions and some q-binomial summation identities are proved, and from these follow some combinatorial identities.
