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arXiv · 2207.03661

Combinatorial meaning of the number of the even parts in a partition of $n$ into distinct parts

Jiyou Li·Sicheng Zhao
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Abstract

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.

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Jiyou Li, Sicheng Zhao. 2022-07-08. Combinatorial meaning of the number of the even parts in a partition of $n$ into distinct parts. https://arxiv.org/abs/2207.03661

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