The maximum hook length of d-distinct simultaneous core partitions
classification
🧮 math.CO
math.NT
keywords
coredistincthooklengthmaximumpartitionspossiblealgorithm
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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.
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