A multiset hook length formula and some applications

Details A multiset hook length formula and some applications A multiset hook length formula and some applications

2011-04-28

arxiv.org/abs/1104.5435v3

Mathematics

Combinatorics

19 pages; 3 figures

Scientific paper

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 obtained by Nekrasov-Okounkov, the third one by Iqbal,
Nazir, Raza and Saleem, who have made use of the cyclic symmetry of the
topological vertex. A multiset hook-content formula is also proved.

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