Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Lucas and Lehmer sequences in transcendental Dedekind domains   A Dedekind domain is said to be transcendental if it is not a field but it
contains a field. In this paper, we obtain analogues of Zsigmondy's theorem and
establish the strong divisibility property and the primitive divisor results
for the Lucas and Lehmer sequences in transcendental Dedekind domains.
Particularly, this extends several previous results in number fields to
function fields.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an