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arxiv: 1604.03729 · v1 · pith:YSEXASXAnew · submitted 2016-04-13 · 🧮 math.CO

On (2k+1, 2k+3)-core partitions with distinct parts

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keywords partitionscoredistinctpartsconcernedconfirmingconjecturesderive
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In this paper, we are mainly concerned with the enumeration of $(2k+1, 2k+3)$-core partitions with distinct parts. We derive the number and the largest size of such partitions, confirming two conjectures posed by Straub.

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