Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Index divisibility in the orbit of 0 for integral polynomials   Let $f(x) \in \bbz[x]$ and consider the index divisibility set $D = \{n \in
\bbn : n \mid f^n(0)\}$. We present a number of properties of $D$ in the case
that $(f^n(0))_{n=1}^\infty$ is a rigid divisibility sequence, generalizing a
number of results of Chen, Stange, and the first author. We then study the
polynomial $x^d + x^e + c \in \bbz[x]$, where $d > e \ge 2$ and determine all
cases where this map has a finite index divisibility set.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc