论文标题
$ n $分区中均匀零件数量的组合含义分为不同的部分
Combinatorial meaning of the number of the even parts in a partition of $n$ into distinct parts
论文作者
论文摘要
在最近的一篇论文中,安德鲁斯(Andrews)和梅尔卡(Merca)将$ n $ $ n $分区中的均匀零件数量调查为不同的零件,这自然源自Euler-Glaisher Bioctive证明。他们通过使用生成功能为此数字获得了新的组合解释。我们在本说明中获得了新的直接组合证明。
In a recent paper, Andrews and Merca investigated the number of even parts in all partitions of $n$ into distinct parts, which arise naturally from the Euler-Glaisher bijective proof. They obtained new combinatorial interpretations for this number by using generating functions. We obtain a new direct combinatorial proof in this note.