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Ordered fields satisfying Pólya's theorem |
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| Authors: | Zeng Guangxing |
| Institution: | Department of Mathematics, Nanchang University, Jiangxi Province, Nanchang 330047, People's Republic of China |
| Abstract: | The purpose of this paper is to characterize ordered fields satisfying Pólya's theorem on positive representations of polynomials. As a main result, it is proved that an ordered field  satisfies Pólya's theorem if and only if  is an archimedean ordering and  is a real closed field. |
| Keywords: | Ordered field P\'olya's theorem archimedean ordering real closed field |
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