Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limits of Sums for Binomial and Eulerian Numbers and their Associated
  Distributions   We provide a unified, probabilistic approach using renewal theory to derive
some novel limits of sums for the normalized binomial coefficients and for the
normalized Eulerian numbers. We also investigate some corresponding results for
their associated distributions -- the binomial distributions for the binomial
coefficients and the Irwin-Hall distributions (uniform B-splines) for the
Eulerian numbers.

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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: bayes-an