Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient sum of squares nonnegativity certificate for quaternary
  quartic   We show that for any non-negative 4-ary quartic form $f$ there exists a
product of two non-negative quadrics $q$ and $q'$ so that $qq'f$ is a sum of
squares (s.o.s.) of quartics. As a step towards deciding whether just one $q$
always suffices to make $qf$ a s.o.s, we show that there exist non-s.o.s.
non-negative 3-ary sextics $ac-b^2$, with $a$, $b$, $c$ of degrees 2, 3, 4,
respectively.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int