Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some combinatorial number theory problems over finite valuation rings   Let $\mathcal{R}$ be a finite valuation ring of order $q^r$. In this paper we
generalize and improve several well-known results, which were studied over
finite fields $\mathbb{F}_q$ and finite cyclic rings
$\mathbb{Z}/p^r\mathbb{Z}$, in the setting of finite valuation rings.

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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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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: quant-ph