Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incomplete poly-Bernoulli numbers associated with incomplete Stirling
  numbers   By using the associated and restricted Stirling numbers of the second kind,
we give some generalizations of the poly-Bernoulli numbers. We also study their
arithmetical and combinatorial properties. As an application, at the end of the
paper we present a new infinite series representation of the Riemann zeta
function via the Lambert $W$.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga