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arXiv · 2412.16941

Overpartitions with separated overlined parts and non-overlined parts

Y. H. Chen·Thomas Y. He·Y. Hu·Y. X. Xie
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Abstract

Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts).

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Y. H. Chen, Thomas Y. He, Y. Hu, Y. X. Xie. 2025-06-02. Overpartitions with separated overlined parts and non-overlined parts. https://arxiv.org/abs/2412.16941

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