Generalizations of Nekrasov-Okounkov Identity

Details Generalizations of Nekrasov-Okounkov Identity Generalizations of Nekrasov-Okounkov Identity

2010-11-16

arxiv.org/abs/1011.3745v2

Mathematics

Combinatorics

8 pages

Scientific paper

Nekrasov-Okounkov identity gives a product representation of the sum over
partitions of a certain function of partition hook length. In this paper we
give several generalizations of the Nekrasov-Okounkov identity using the cyclic
symmetry of the topological vertex.

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