A multiset hook length formula and some applications

作者：Dehaye Paul Olivier^*; Han Guo Niu

来源：Discrete Mathematics, 2011, 311(23-24): 2690-2702.

DOI：10.1016/j.disc.2011.08.018

• Integer partitions
• Hook length
• q-series
• Congruence relations
• t-cores

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.

• 出版日期2011-12-28