Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595335 | Journal of Number Theory | 2007 | 6 Pages |
Abstract
In this article, we investigate some conditions for a real cyclic extension K over Q to satisfy the property that every totally positive unit of K is a square. As an application, we give a partial answer to Taussky's conjecture. We then extend our result to real abelian extensions of certain type.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory