Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recursions for Excedance number in some permutations groups   The excedance number for S_n is known to have an Eulerian distribution.
Nevertheless, the classical proof uses descents rather than excedances. We
present a direct recursive proof which seems to be folklore and extend it to
the colored permutation groups G_r,n. The generalized recursion yields some
interesting connection to Stirling numbers of the second kind. We also show
some logconcavity result concerning a variant of the excedance number. Finally,
we show that the generating function of the excedance number defined on G_r,n
is symmetric.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc