Geodesic
The maximum hook length of \(d\)-distinct simultaneous core partitions
Ethan Pesikoff1 ; Benjamin Przybocki2 ; Janabel Xia3
1Yale University
2Stanford University
3MIT
The electronic journal of combinatorics, Tome 30 (2023) no. 3
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We exactly determine the maximum possible hook length of $(s,t)$-core partitions with $d$-distinct parts when there are finitely many such partitions. Moreover, we provide an algorithm to construct a $d$-distinct $(s,t)$-core partition with this maximum possible hook length.
DOI : 10.37236/11553
Classification : 05A17, 11P81
Mots-clés : Young diagram, \(\beta\)-sets

Ethan Pesikoff  1   ; Benjamin Przybocki  2   ; Janabel Xia  3

1 Yale University
2 Stanford University
3 MIT 
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     author = {Ethan Pesikoff and Benjamin Przybocki and Janabel Xia},
     title = {The maximum hook length of \(d\)-distinct simultaneous core partitions},
     journal = {The electronic journal of combinatorics},
     year = {2023},
     volume = {30},
     number = {3},
     doi = {10.37236/11553},
     zbl = {1533.05023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/11553/}
}
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Ethan Pesikoff; Benjamin Przybocki; Janabel Xia. The maximum hook length of \(d\)-distinct simultaneous core partitions. The electronic journal of combinatorics, Tome 30 (2023) no. 3. doi: 10.37236/11553

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