A family of cyclic quartic fields with explicit fundamental units
Volume 187 / 2019
Acta Arithmetica 187 (2019), 43-57
MSC: Primary 11R16; Secondary 11R27.
DOI: 10.4064/aa171010-23-8
Published online: 19 November 2018
Abstract
We construct a family of quartic polynomials with cyclic Galois group and show that the roots of the polynomials are fundamental units or generate a subgroup of index 5.
