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

2016/04/13 by Sherry H. F. Yan, Yan, Sherry H. F., Guizhi Qin +5
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1604.03729

arxiv created 2016/04/13 · arxiv updated 2016/04/14

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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