There are consecutive cubic fields with large class numbers, when ordered by discriminant

Vitezslav Kala; Om Prakash

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arXiv · 2601.03984

There are consecutive cubic fields with large class numbers, when ordered by discriminant

Vitezslav Kala·Om Prakash

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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.

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Vitezslav Kala, Om Prakash. 2026-01-07. There are consecutive cubic fields with large class numbers, when ordered by discriminant. https://arxiv.org/abs/2601.03984

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