Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some results on counting roots of polynomials and the Sylvester
  resultant   We present two results, the first on the distribution of the roots of a
polynomial over the ring of integers modulo $n$ and the second on the
distribution of the roots of the Sylvester resultant of two multivariate
polynomials. The second result has application to polynomial GCD computation
and solving polynomial diophantine equations.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat