2 papers
math.NT2017
A family of cyclic quartic fields with explicit fundamental units
Steve Balady, Lawrence C. Washington
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.
math.NT2015
Families of Cyclic Cubic Fields
Steve Balady
We describe a procedure for generating families of cyclic cubic fields with explicit fundamental units. This method generates all known families and gives new ones.