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Bradley Delso, Margarita (1989) Convex-Hull Of Polynomials And Sums Of 2m-Th Powers. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 309 (12). pp. 751-755. ISSN 0764-4442
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Abstract
Using some elementary theory of convex sets we prove a necessary and a sufficient condition for f ε R[x„ . . ., x„](R being the real numbers) to be a finite sum of 2m-th powers of rational functions in x1, . . ., x n over R[i.e.f ε ∑ R(x)2 m]
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | rench polynomial ring; function field; convex set; positive semidefinite polynomial; sum of 2m-th powers; convex hull; supporting hyperplane |
| Subjects: | Sciences > Mathematics > Number theory Sciences > Mathematics > Algebra |
| ID Code: | 14814 |
| Deposited On: | 18 Apr 2012 09:21 |
| Last Modified: | 03 Aug 2018 11:00 |
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