Fundamental Systems of Units of Some Imaginary Multiquadratic Fields of Degree 16

Let \(q_1\equiv q_2\equiv 3\pmod 8\) be two different prime integers, d a positive odd square-free integer relatively prime to \(q_1\) and \(q_2\) . The main aim of this paper is to investigate the unit groups of some number fields of the form \(\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{q_1}, \sqrt{q_2}, \sqrt{-d})\) .