Arithmetically equivalent number fields have approximately the same successive minima

Floris Vermeulen

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arXiv · 2206.13855

Arithmetically equivalent number fields have approximately the same successive minima

Floris Vermeulen

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Abstract

Let $K$ and $K'$ be arithmetically equivalent number fields, both of degree $d$. We prove that $K$ and $K'$ have the same successive minima, up to a constant depending only on $d$. We give examples showing that one cannot expect equality.

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Floris Vermeulen. 2022-06-28. Arithmetically equivalent number fields have approximately the same successive minima. https://arxiv.org/abs/2206.13855

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