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On totally positive units of real holomorphy rings

โœ Scribed by Joachim Schmid

Book ID
112884810
Publisher
The Hebrew University Magnes Press
Year
1994
Tongue
English
Weight
411 KB
Volume
85
Category
Article
ISSN
0021-2172

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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.