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Generalizations of Nekrasov-Okounkov Identity |
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| Authors: | Amer Iqbal Shaheen Nazir Zahid Raza Zain Saleem |
| Affiliation: | 1. Department of Physics, LUMS School of Science and Engineering, U-Block, D.H.A, Lahore, Pakistan 2. Abdus Salam School of Mathematical Sciences, G.C. University, Lahore, Pakistan 3. Department of Mathematics, National University of Computer and Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan 4. National Center for Physics, Quaid-e-Azam University, Islamabad, Pakistan |
| 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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