Article ID Journal Published Year Pages File Type
4595335 Journal of Number Theory 2007 6 Pages PDF
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