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arXiv · 2111.08341

A generalization of simplest number fields and their integral basis

Laszlo Remete
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Abstract

An integral basis of the simplest number fields of degree 3,4 and 6 over $\mathbb{Q}$ are well-known, and widely investigated. We generalize the simplest number fields to any degree, and show that an integral basis of these fields is repeating periodically.

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Laszlo Remete. 2021-11-16. A generalization of simplest number fields and their integral basis. https://doi.org/10.1007/s10474-020-01093-8

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