Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Density of Shifted and Affine Eisenstein Polynomials   In this paper we provide a complete answer to a question by Heyman and
Shparlinski concerning the natural density of polynomials which are irreducible
by Eisenstein's criterion after applying some shift. The main tool we use is a
local to global principle for density computations over a free $\mathbb
Z$-module of finite rank.

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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
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: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
3
The categories of this paper are: physics