Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: p-adic Stirling numbers of the second kind   Let S(n,k) denote the Stirling numbers of the second kind. We prove that the
p-adic limit of S(p^e a + c, p^e b + d) as e goes to infinity exists for all
integers a, b, c, and d. We call the limiting p-adic integer S(p^\infty a + c,
p^\infty b + d). When a equiv b mod (p-1) or d \le 0, we express them in terms
of p-adic binomial coefficients introduced in a recent paper.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex