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MR1844985 (2002g:13052) 13J30 (12D15)
Leep, David B.; Starr, Colin L. Polynomials in ${\Bbb R}[x,y]$ that are sums of squares in ${\Bbb R}(x,y)$. Proc. Amer. Math. Soc. 129 (2001), no. 11, 3133–3141 (electronic).
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