Representation of a real polynomial f(X) as a sum of 2m-th powers of rational functions
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Springer Netherlands
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http://link.springer.com/content/pdf/10.1007/978-94-009-2472-7_16.pdf
Reference8 articles.
1. Becker, E.: Summen n-ter Potenzen in Körpern. J. reine angew. Math. 307/308 (1979), 8–30
2. Becker, E.: The real holomorphy ring and sums of 2n-th powers. Lecture Notes in Math. 959 (Springer, 1982), 139–181
3. Bradley, M.: Aspectos cuantitativos y cualitativos finitistas en summas de potencias 2m-esimas de polinomios. Thesis. Santander 1987
4. Delzell, Ch.: A sup-inf-polynomially varying solution to Hubert’s 17th Problem. (Preprint)
5. Prestel, A.: Lectures on formally real fields. Lecture Notes in Math. 1093 (Springer, 1984)
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1. A continuous and rational solution to Hubert’s 17th problem and several cases of the Positivstellensatz;Computational Algebraic Geometry;1993
2. Integral-valued rational functions on valued fields;Manuscripta Mathematica;1991-12
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