Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the main theorem on Bezoutians   We give a self-contained proof that the nullity of the Bezoutian matrix
associated with a pair of polynomials $f$ and $g$ equals the number of their
common zeros counting multiplicities.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci