Abstract. We study the real cyclic sextic fields generated by a root w of (X -l)6 -(r2 + 108)(X2 + A')2, t e Z -{0, ±6, ±26}. We show that, when t1 + 108 is square-free (except for powers of 2 and 3), and t =t 0, ± 10. + 54, then w is a generator of the module of relative units. The details of the proofs are given in [3].
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.