Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Approach to Signed Eulerian Numbers   The numbers of even and odd permutations with a given ascent number are
investigated using an operator that was previously introduced by the author.
Their difference is called a signed Eulerian number. By means of the operator
the recurrence relation for signed Eulerian numbers is deduced, which was
obtained by an analytic method. Our approach is straightforward and enables us
to deduce other properties including divisibility by prime powers.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an