A generalization of simplest number fields and their integral basis

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.

References in corpus (2)

• Integral bases and monogenity of pure fields
• Integral basis of pure fields with square-free parameter