Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power majorization between the roots of two polynomials   It is shown that if two hyperbolic polynomials have a particular
factorization into quadratics, then their roots satisfy a power majorization
relation whenever key coefficients in their factorizations satisfy a
corresponding majorization relation. In particular, a numerical observation by
Kleme\v{s} is confirmed.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom