Geodesic
Fredholm determinant representation for the partition function of the six-vertex model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 308-321

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The six-vertex model with domain wallboundary conditions is considered. A Fremholm determinant representation for the partition function of the model is ontained. The kernel of the corresponding integral operator depends on Laguerre polynomials. 
@article{ZNSL_2000_269_a20,
     author = {N. A. Slavnov},
     title = {Fredholm determinant representation for the partition function of the six-vertex model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {308--321},
     publisher = {mathdoc},
     volume = {269},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a20/}
}
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N. A. Slavnov. Fredholm determinant representation for the partition function of the six-vertex model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 308-321. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a20/