Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting algebraic integers of fixed degree and bounded height   Let $k$ be a number field. For $\mathcal{H}\rightarrow \infty$, we give an
asymptotic formula for the number of algebraic integers of absolute Weil height
bounded by $\mathcal{H}$ and fixed degree over $k$.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph