Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral points of fixed degree and bounded height   By Northcott's Theorem there are only finitely many algebraic points in
affine $n$-space of fixed degree over a given number field and of height at
most $X$. For large $X$ the asymptotics of these cardinalities have been
investigated by Schanuel, Schmidt, Gao, Masser and Vaaler, and the author. In
this paper we study the case where the coordinates of the points are restricted
to algebraic integers, and we derive the analogues of Schanuel's, Schmidt's,
Gao's and the author's results.

29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org