Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fredholm determinant representation for the partition function of the
  six-vertex model   The six-vertex model with domain wall boundary conditions is considered. A
Fredholm determinant representation for the partition function of the model is
obtained. The kernel of the corrtesponding integral operator depends on
Laguerre polynomials.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th