Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Secondary Term for $D_4$ Quartic Fields Ordered By Conductor   To any quartic $D_4$ extension of $\mathbb{Q}$, one can associate the Artin
conductor of a 2-dimensional irreducible representation of the group.
Alt\u{u}g, Shankar, Varma, and Wilson determined the asymptotic number of such
fields when ordered by conductor. We refine this, realizing a secondary term
and power saving error term.

21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom