Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of Chebyshev Polynomials, V. Residual Polynomials   We study residual polynomials, $R_{x_0,n}^{(\mathfrak{e})}$,
$\mathfrak{e}\subset\mathbb{R}$, $x_0\in\mathbb{R}\setminus\mathfrak{e}$, which
are the degree at most $n$ polynomials with $R(x_0)=1$ that minimize the $\sup$
norm on $\mathfrak{e}$. New are upper bounds on their norms (that are optimal
in some cases) and Szeg\H{o}--Widom asymptotics under fairly general
circumstances. We also discuss several illuminating examples and some results
in the complex case.

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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th