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math.CO2011
Integrality of hook ratios
Paul-Olivier Dehaye
We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prov…
math.CO2011
A multiset hook length formula and some applications
Paul-Olivier Dehaye, Guo-Niu Han
A multiset hook length formula for integer partitions is established by using combinatorial manipulation. As special cases, we rederive three hook length formulas, two of them obta…