Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: width-k Eulerian polynomials of type A and B and its Gamma-positivity   We define some generalizations of the classical descent and inversion
statistics on signed permutations that arise from the work of Sack and
Ulfarsson [20] and called after width-k descents and width-k inversionsof type
A in Davis's work [8]. Using the aforementioned new statistics, we derive some
new generalizations of Eulerian polynomials of type A, B and D. It should also
be noticed that we establish the Gamma-positivity of the "width-k" Eulerian
polynomials and we give a combinatorial interpretation of finite sequences
associated to these new polynomials using quasisymmetric functions and
P-partition in Petersen's work [18].

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-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: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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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: adap-org