Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ternary Inclusion-Exclusion Polynomials   Taking a combinatorial point of view on cyclotomic polynomials leads to a
larger class of polynomials we shall call the inclusion-exclusion polynomials.
This gives a more appropriate setting for certain types of questions about the
coefficients of these polynomials. After establishing some basic properties of
inclusion-exclusion polynomials we turn to a detailed study of the structure of
ternary inclusion-exclusion polynomials. The latter subclass is exemplified by
cyclotomic polynomials $\Phi_{pqr}$, where $p<q<r$ are odd primes. Our main
result is that the set of coefficients of $\Phi_{pqr}$ is simply a string of
consecutive integers which depends only on the residue class of $r$ modulo
$pq$.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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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: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph