An improved error term for counting $D_4$-quartic fields
Number Theory
2024-05-07 v4
Abstract
We prove that the number of quartic fields with discriminant whose Galois closure is equals , improving the error term in a well-known result of Cohen, Diaz y Diaz, and Olivier. We prove an analogous result for counting quartic dihedral extensions over an arbitrary base field.
Cite
@article{arxiv.2307.14564,
title = {An improved error term for counting $D_4$-quartic fields},
author = {Kevin J. McGown and Amanda Tucker},
journal= {arXiv preprint arXiv:2307.14564},
year = {2024}
}
Comments
17 pages, 1 figure