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

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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Bibliographic Details
Published in:Discrete mathematics 2017-06, Vol.340 (6), p.1191-1202
Main Authors: Yan, Sherry H.F., Qin, Guizhi, Jin, Zemin, Zhou, Robin D.P.
Format: Article
Language:English
Subjects:
Core partition
Hook length
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Summary: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.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2017.01.021