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arXiv · 2207.06514

On the asymptotics of cubic fields ordered by general invariants

Arul Shankar·Frank Thorne
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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.

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Arul Shankar, Frank Thorne. 2024-01-29. On the asymptotics of cubic fields ordered by general invariants. https://arxiv.org/abs/2207.06514

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