Bradley Delso, Margarita (1990) An elementary based sufficient condition for sums of 2mth powers of polynomials over non-archimedean real closed fields. Journal of Pure and Applied Algebra , 63 (3). pp. 219-224. ISSN 0022-4049
Official URL: http://www.sciencedirect.com/science/article/pii/002240499090067R
Abstract
Using some model-theoretic arguments applied to the theory of real valuations, we obtain a sufficient condition based on elementary properties of , K any real closed field, for ƒ to be sum of 2mth powers of rational functions in K(x).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | positive semidefinite polynomials; semialgebraic sets; sum of 2m-th powers of rational functions |
| Subjects: | Sciences > Mathematics > Logic, Symbolic and mathematical |
| ID Code: | 14813 |
| Deposited On: | 18 Apr 2012 11:20 |
| Last Modified: | 18 Apr 2012 11:20 |
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