Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic
  Progressions   We give conditions under which certain digit-restricted integer sets avoid
$k$-term arithmetic progressions. These sets are reasonably efficient to
compute and therefore enable large-scale search. We identify a set with no
arithmetic progression of four terms and with harmonic sum $4.43975$, which
improves an earlier "greedy" construction.

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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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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: q-bio
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex