论文标题

对郭和阳的两个身份的组合解释

Combinatorial interpretations of two identities of Guo and Yang

论文作者

Merca, Mircea

论文摘要

最大零件小于或等于$ n $的限制分区,零件的数量小于或等于$ k $,Andrews在\ cite {Andrews76}中研究了。这些分区最近被作者扩展到分区中的两种部分。在本文中,我们将一类新的限制分区分为两种类型的部分,为郭和阳的两个身份提供新的组合解释。

The restricted partitions in which the largest part is less than or equal to $N$ and the number of parts is less than or equal to $k$ were investigated by Andrews in \cite{Andrews76}. These partitions were extended recently by the author to the partitions into parts of two kinds. In this paper, we use a new class of restricted partitions into parts of two kinds to provide new combinatorial interpretations for two identities of Guo and Yang.

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