Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415722 | Journal of Number Theory | 2011 | 17 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S.B. Mulay, Mark Spindler,