Corners of self-conjugate (s,s + 1)-cores and (s‾,s+1‾)-cores

Corners of self-conjugate (s,s + 1)-cores and (s‾,s+1‾)-cores

In this paper, we describe a result on self-conjugate (s,s+1)-core partitions with the fixed number of corners. We also define shifted corners of a distinct partition and find formulas for the number of (s‾,s+1‾)-core partitions and the number of (s,s+1)-core shifted Young diagrams with the fixed nu...

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Veröffentlicht in:Discrete mathematics 2022-09, Vol.345 (9), p.112949, Article 112949
Hauptverfasser: Cho, Hyunsoo, Hong, Kyounghwan
Format: Artikel
Sprache:eng
Schlagworte:
Bar-core partition
Core shifted Young diagram
Corner
Self-conjugate partition
Simultaneous core partition
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Zusammenfassung:In this paper, we describe a result on self-conjugate (s,s+1)-core partitions with the fixed number of corners. We also define shifted corners of a distinct partition and find formulas for the number of (s‾,s+1‾)-core partitions and the number of (s,s+1)-core shifted Young diagrams with the fixed number of shifted corners.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2022.112949