Impacto
Downloads
Downloads per month over past year
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
![]() |
PDF
Restringido a Repository staff only 378kB |
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 |
Origin of downloads
Repository Staff Only: item control page