A multiset hook length formula and some applications
Combinatorics
2011-05-10 v3
Abstract
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.
Cite
@article{arxiv.1104.5435,
title = {A multiset hook length formula and some applications},
author = {Paul-Olivier Dehaye and Guo-Niu Han},
journal= {arXiv preprint arXiv:1104.5435},
year = {2011}
}
Comments
19 pages; 3 figures