Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-free polynomial approximation on a chain of Jordan domains   On a compact subset of the plane with connected complement, is it possible to
uniformly approximate a continuous function, holomorphic and non-vanishing on
the interior, with polynomials non-vanishing on the entire compact set? In this
brief note, we recall the surprising connection between this question and the
Riemann hypothesis and proceed to provide an affirmative answer for a "chain"
of Jordan domains.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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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: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph