Sums of \(2m\)-th powers of rational functions in one variable over real closed fields

DOI10.1007/PL00004512zbMath0859.12002MaRDI QIDQ1910185

Man-Duen Choi, Bruce Reznick, Alexander Prestel, Tsit-Yuen Lam

Publication date: 5 August 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174837

zbMATH Keywords

Pythagoras numberreal closed fieldsums of higher even powers of rational functions

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Waring's problem and variants (11P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (6)

Sums of fourth powers of real algebraic functions ⋮ Effective geometric Hermitian positivstellensatz ⋮ Sums of even powers of \(k\)-regulous functions ⋮ Eventual positivity of Hermitian algebraic functions and associated integral operators ⋮ Quadratic Forms ⋮ On totally positive units of real holomorphy rings

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