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

preprint2016arXivOpen access

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

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

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