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Model theory of fields: An application to positive semidefinite polynomials

Alexander Prestel

1984Mémoires de la Société mathématique de FranceEngineering被引 7开放获取

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摘要

Using some model theoretic arguments, we will settle the following problem raised by E. Becker: Which polynomials f 3R[X-,...,X ] can be written as a finite sum of 2m-th powers of rational functions in X-, . . . ,X over ]R ?

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Alexander Prestel. Model theory of fields: An application to positive semidefinite polynomials[J]. Mémoires de la Société mathématique de France, 1984.

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DOI:https://doi.org/10.24033/msmf.312

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