Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cubefree Trinomial Discriminants   The discriminant of a polynomial of the form $\pm x^n \pm x^m \pm 1$ has the
form $n^n \pm m^m(n-m)^{n-m}$ when $n,m$ are relatively prime. We investigate
when these discriminants have prime power divisors. We explain several
symmetries that appear in the classification of these values of $n,m$. We prove
that there are infinitely many pairs of integers $n,m$ for which this
discriminant has no prime cube divisors. This result is extended to show that
for infinitely many fixed $m$, there are infinitely many $n$ for which the
discriminant has no prime cube divisor.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph