Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Divisibility of Class Numbers of Cubic Number Fields with
  Discriminants in a Prescribed Rational Quadratic Class   Let n be an odd number and F an imaginary quadratic field with odd
discriminant. We show that there exists infinitely many cubic fields K such
that the class number of K is divisible by n and the Galois closure of K
contains F.

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The categories of this paper are: cond-mat
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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: supr-con
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The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas