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A dual of MacMahon’s theorem on plane partitions

A classical theorem of MacMahon states that the number of lozenge tilings of any centrally symmetric hexagon drawn on the triangular lattice is given by a beautifully simple product formula. In this paper, we present a counterpart of this formula, corresponding to the exterior of a concave hexagon o...

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Bibliographic Details
Main Authors: Ciucu, Mihai, Krattenthaler, Christian
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 2013
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC3607030/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1217100110
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