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math.CO2025
Rook decomposition of the Partition function
N. Guru Sharan
The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated to integer partitions. We show its connecti…
math.CO2025
Partitions with Durfee triangles of fixed size
N. Guru Sharan, Armin Straub
A well-studied statistic of an integer partition is the size of its Durfee square. In particular, the number of partitions of with Durfee square of fixed size has…