Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rationality of generating functions of rook polynomials and permanents
  of Kronecker products of Toeplitz matrices and circulants with the matrix
  $J_k$ and their evaluation. I   In this paper we give a generalization created by the author of the theory of
rook polynomials and permanents of circulants, Toeplits matrices and their
submatrices.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys