Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factoring Variants of Chebyshev Polynomials with Minimal Polynomials of
  $\cos(\frac{2\pi}{d})$   We solve the problem of factoring polynomials $V_n(x) \pm 1$ and $W_n(x) \pm
1$ where $V_n(x)$ and $W_n(x)$ are Chebyshev polynomials of the third and
fourth kinds. The method of proof is based on previous work by Wolfram [12] for
factoring variants of Chebyshev polynomials of the first and second kinds,
$T_n(x) \pm 1$ and $U_n(x) \pm 1$. We also show that, in general, there are no
factorizations of variants of Chebyshev polynomials of the fifth and sixth
kinds, $X_n(x) \pm 1$ and $Y_n(x) \pm 1$ using minimal polynomials of
$\cos(\frac{2\pi}{d})$.

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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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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: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas