Generalizations of Nekrasov-Okounkov Identity

Published 16 Nov 2010 in math.CO and hep-th | (1011.3745v2)

Abstract: 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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