Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of polynomials of bounded height that satisfy Dumas's
  criterion   We study integer coefficient polynomials of fixed degree and maximum height
$H$, that are irreducible by Dumas's criterion. We call such polynomials Dumas
polynomials. We derive upper bounds on the number of Dumas polynomials, as $H$
approaches infinity. We also show that, for a fixed degree, the density of
Dumas polynomials in all irreducible integer coefficient polynomials is
strictly less than 1.

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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess