Sums of fourth powers of real algebraic functions

DOI10.1007/BF02567620zbMath0811.12001MaRDI QIDQ1331749

Joachim Schmid

Publication date: 4 May 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155967

zbMATH Keywords

Pythagoras numberreal holomorphy ring

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Hilbertian fields; Hilbert's irreducibility theorem (12E25)

Related Items

Sums of even powers of \(k\)-regulous functions

Cites Work

• Lectures on formally real fields
• Eine Bemerkung zu den höheren Pythagoraszahlen reeller Körper. (A remark on higher Pythagoras numbers of real fields)
• On totally positive units of real holomorphy rings
• Sums of \(2m\)-th powers of rational functions in one variable over real closed fields