Normal integral bases of Lehmer's cyclic quintic fields
Number Theory
2024-04-15 v4
Abstract
Let be a tamely ramified cyclic quintic field generated by a root of Emma Lehmer's parametric polynomial. We give all normal integral bases for only by the roots of the polynomial, which is a generalization of the work of Lehmer in the case that is prime number, and Spearman-Willliams in the case that is square-free.
Keywords
Cite
@article{arxiv.2209.10858,
title = {Normal integral bases of Lehmer's cyclic quintic fields},
author = {Yu Hashimoto and Miho Aoki},
journal= {arXiv preprint arXiv:2209.10858},
year = {2024}
}