JournalscmhVol. 99, No. 4pp. 769–797

On the asymptotics of cubic fields ordered by general invariants

  • Arul Shankar

    University of Toronto, Toronto, Canada

  • Frank Thorne

    University of South Carolina, Columbia, USA
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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 this article

Arul Shankar, Frank Thorne, On the asymptotics of cubic fields ordered by general invariants. Comment. Math. Helv. 99 (2024), no. 4, pp. 769–797

DOI 10.4171/CMH/576