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MR1803369 (2001h:11049) 11E76 (11E20)
Powers, Victoria; Reznick, Bruce Notes towards a constructive proof of Hilbert's theorem on ternary quartics. Quadratic forms and their applications (Dublin, 1999), 209–227, Contemp. Math., 272, Amer. Math. Soc., Providence, RI, 2000.
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