On the Asymptotics of Cubic Fields Ordered by General Invariants

Author(s)

• Arul Shankar
• Frank Thorne, University of South CarolinaFollow

Document Type

Article

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.

Digital Object Identifier (DOI)

https://doi.org/10.4171/CMH/576

Publication Info

Published in Commentarii Mathematici Helvetici, Volume 99, 2024, pages 769-797.

APA Citation

Shankar, A., & Thorne, F. (2024). On the asymptotics of cubic fields ordered by general invariants. Commentarii Mathematici Helvetici, 99(4), 769–797. https://doi.org/10.4171/CMH/576

Rights

© Swiss Mathematical Society CC-BY-4.0