Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Moments of non-normal number fields   Let $ K $ be a number field over $ \mathbb{Q} $ and let $ a_K(m) $ denote the
number of integral ideals of $ K $ of norm equal to $ m\in\mathbb{N} $. In this
paper we obtain asymptotic formulae for sums of the form $ \sum_{m\leq X}
a^l_K(m) $ thereby generalizing the previous works on the problem. Previously
such asymptotics were known only in the case when $ K $ is Galois or when $K$
was a non normal cubic extension and $ l=2,3 $. The present work subsumes both
these cases.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom