Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of prime ideals of higher residue degree across ideal
  classes in the class groups   In this article we investigate the distribution of prime ideals of residue
degree bigger than one across the ideal classes in the class group of a number
field $L$. A criterion for the class group of $L$ being generated by the
classes of prime ideals of residue degree $f>1$ is provided. Further, some
consequences of this study on the solvability of norm equations for
$L/\mathbb{Q}$ and on the problem of finding annihilators for relative
extensions are discussed.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat