There are consecutive cubic fields with large class numbers, when ordered by discriminant
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.
Fields of Study & Subjects
Limits and Structures in Graph Theory
Analytic Number Theory Research
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint