An integral basis of the simplest number fields of degrees 3, 4 and 6 over $$\mathbb{Q}$$ is 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.

中文翻译：

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最简单数域及其积分基的推广

$$\mathbb{Q}$$ 上最简单的 3、4 和 6 度数域的积分基是众所周知的，并被广泛研究。我们将最简单的数字域推广到任何程度，并表明这些域的积分基础是周期性重复的。