On the asymptotics of cubic fields ordered by general invariants
Number Theory
2024-01-31 v2
Abstract
In this article, we introduce a class of invariants of cubic fields termed generalized discriminants. We then obtain asymptotics for the families of cubic fields ordered by these invariants. In addition, we determine which of these families satisfy the Malle--Bhargava heuristic.
Cite
@article{arxiv.2207.06514,
title = {On the asymptotics of cubic fields ordered by general invariants},
author = {Arul Shankar and Frank Thorne},
journal= {arXiv preprint arXiv:2207.06514},
year = {2024}
}
Comments
20 pages, with corrections