Article ID Journal Published Year Pages File Type
6415722 Journal of Number Theory 2011 17 Pages PDF
Abstract

It is proved that a real cubic unit u, whose other two conjugates are also real, is almost always a fundamental unit of the order Z[u]. The exceptions are shown to consist of a single infinite family together with one sporadic case. This is an analogue of Nagell's theorem for the negative discriminant case i.e. the case where u does not have any real conjugate.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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