Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The descent set polynomial revisited   We continue to explore cyclotomic factors in the descent set polynomial
$Q_{n}(t)$, which was introduced by Chebikin, Ehrenborg, Pylyavskyy and Readdy.
We obtain large classes of factors of the form $\Phi_{2s}$ or $\Phi_{4s}$ where
$s$ is an odd integer, with many of these being of the form $\Phi_{2p}$ where
$p$ is a prime. We also show that if $\Phi_{2}$ is a factor of $Q_{2n}(t)$ then
it is a double factor. Finally, we give conditions for an odd prime power $q =
p^{r}$ for which $\Phi_{2p}$ is a double factor of $Q_{2q}(t)$ and of
$Q_{q+1}(t)$.

9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex