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arXiv · 1604.03729

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

Sherry H. F. Yan·Guizhi Qin·Zemin Jin·Robin D. P. Zhou
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Abstract

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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Sherry H. F. Yan, Guizhi Qin, Zemin Jin, Robin D. P. Zhou. 2016-04-13. On $(2k+1, 2k+3)$-core partitions with distinct parts. https://arxiv.org/abs/1604.03729

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