A Secondary Term for $D_4$ Quartic Fields Ordered By Conductor
Number Theory
2021-11-09 v1
Abstract
To any quartic extension of , 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.
Keywords
Cite
@article{arxiv.2111.03982,
title = {A Secondary Term for $D_4$ Quartic Fields Ordered By Conductor},
author = {Matthew Friedrichsen},
journal= {arXiv preprint arXiv:2111.03982},
year = {2021}
}
Comments
25 pages