A family of cyclic quartic fields with explicit fundamental units

2017/08/23 by Balady, Steve, Washington, Lawrence C.
#11R16 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1708.07184

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.

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