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MR1802018 (2001k:11260) 11U05 (11D72 32H25)
Vojta, Paul Diagonal quadratic forms and Hilbert's tenth problem. Hilbert's tenth problem: relations with arithmetic and algebraic geometry (Ghent, 1999), 261--274, Contemp. Math., 270, Amer. Math. Soc., Providence, RI, 2000.
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