Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting decomposable multivariate polynomials   A polynomial f (multivariate over a field) is decomposable if f = g(h) with g
univariate of degree at least 2. We determine the dimension (over an
algebraically closed field) of the set of decomposables, and an approximation
to their number over a finite field. The relative error in our approximations
is exponentially decaying in the input size.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: physics