论文标题

安德鲁斯三个分区定理的组合证明和改进

Combinatorial proofs and refinements of three partition theorems of Andrews

论文作者

Fu, Shishuo

论文摘要

在最近的工作中,安德鲁斯(Andrews)重新审视了两色分区,对连续部分之间的差异有一定限制,他建立了三个定理,将这些两色分区与更熟悉的分区联系起来。在本说明中,我们提供了三个安德鲁斯定理的徒识别和改进。我们的改进考虑了两种颜色中每种零件的数量。

In his recent work, Andrews revisited two-color partitions with certain restrictions on the differences between consecutive parts, and he established three theorems linking these two-color partitions with more familiar kinds of partitions. In this note, we provide bijective proofs as well as refinements of those three theorems of Andrews. Our refinements take into account the numbers of parts in each of the two colors.

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