Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Patterns of dependence among powers of polynomials   Let F = {f_1,...,f_r} be a family of polynomials and let the ticket of F,
T(F), denote the set of integers m so that ${f_j^m}$ is linearly dependent. We
show that |T(F)| \le (r-1)(r-2)/2 and present many concrete examples, including
one with r=6 and T(F) = {1,2,3,4,8,14}.

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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn