On totally positive units of real holomorphy rings

DOI10.1007/BF02758647zbMath0798.12001MaRDI QIDQ1320038

Joachim Schmid

Publication date: 31 October 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

formally real fieldreal holomorphy ringtotally positive unit

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Real algebraic and real-analytic geometry (14P99)

Related Items (3)

Sums of fourth powers of real algebraic functions ⋮ Uniform denominators in Hilbert's seventeenth problem ⋮ Remarks on Hilbert identities, isometric embeddings, and invariant cubature

Cites Work

• Lectures on formally real fields
• Eine Bemerkung zu den höheren Pythagoraszahlen reeller Körper. (A remark on higher Pythagoras numbers of real fields)
• Sums of \(2m\)-th powers of rational functions in one variable over real closed fields
• Valuations and real places in the theory of formally real fields
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