Geodesic
Enumeration of plane partitions and the~algebraic Bethe anzatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 193-203

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We establish a relation between an exactly solvable boson model and plane partitions, i.e., three-dimensional Young diagrams enclosed in a box of finite size, which allows representing the partition generating functions as correlation functions of an integrable model and deriving the MacMahon formulas for enumerating partitions using the quantum inverse scattering method.
Keywords: integrable models, Bethe anzatz
Mots-clés : plane partitions. 
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     author = {N. M. Bogolyubov},
     title = {Enumeration of plane partitions and the~algebraic {Bethe} anzatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
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N. M. Bogolyubov. Enumeration of plane partitions and the~algebraic Bethe anzatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 193-203. http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a1/