Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the greatest prime factor of some divisibility sequences   Let $P(m)$ denote the greatest prime factor of $m$. For integer $a>1$, M. Ram
Murty and S. Wong proved that, under the assumption of the ABC conjecture,
$$P(a^n-1)\gg_{\epsilon, a} n^{2-\epsilon}$$ for any $\epsilon>0$. We study
analogues results for the corresponding divisibility sequence over the function
field $\mathbb{F}_q(t)$ and for some divisibility sequences associated to
elliptic curves over the rational field $\mathbb{Q}$.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat