Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power Sum Decompositions of Elementary Symmetric Polynomials   We bound the tensor ranks of elementary symmetric polynomials, and we give
explicit decompositions into powers of linear forms. The bound is attained when
the degree is odd.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom