Lower bounds for counting $A_4$-quartic fields
Number Theory
2025-10-08 v1
Abstract
A conjecture of Malle predicts the quantity of number fields with bounded discriminant of given Galois group. We present a lower bound matching this in the case of quartic fields with Galois group .
Cite
@article{arxiv.2510.05248,
title = {Lower bounds for counting $A_4$-quartic fields},
author = {Daniel Loughran and Ross Paterson},
journal= {arXiv preprint arXiv:2510.05248},
year = {2025}
}
Comments
24 pages, comments welcome!