English

A generalization of simplest number fields and their integral basis

Number Theory 2021-11-17 v1

Abstract

An integral basis of the simplest number fields of degree 3,4 and 6 over Q\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.

Keywords

Cite

@article{arxiv.2111.08341,
  title  = {A generalization of simplest number fields and their integral basis},
  author = {Laszlo Remete},
  journal= {arXiv preprint arXiv:2111.08341},
  year   = {2021}
}
R2 v1 2026-06-24T07:40:17.231Z