Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic density and the asymptotics of partition functions   Let A be a set of positive integers with gcd(A) = 1, and let p_A(n) be the
partition function of A. Let c = \pi \sqrt(2/3). Let \alpha > 0. It is proved
that log p_A(n) ~ c\sqrt(\alpha n) if and only if the set A has asymptotic
density \alpha.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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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: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci