There are consecutive cubic fields with large class numbers, when ordered by discriminant
Number Theory
2026-01-08 v1
Abstract
We consider cubic number fields ordered by their discriminants, and show that there exist arbitrarily long sequences that contain only fields with class numbers greater than a given bound.
Cite
@article{arxiv.2601.03984,
title = {There are consecutive cubic fields with large class numbers, when ordered by discriminant},
author = {Vitezslav Kala and Om Prakash},
journal= {arXiv preprint arXiv:2601.03984},
year = {2026}
}
Comments
10 pages, comments are welcome!