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A generalization of simplest number fields and their integral basis

Published 16 Nov 2021 in math.NT | (2111.08341v1)

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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