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MR2297245 (2009e:11235) 11U05 (03-02 03B25 11-02)
Shlapentokh, Alexandra Hilbert's tenth problem. Diophantine classes and extensions to global fields. New Mathematical Monographs, 7. Cambridge University Press, Cambridge, 2007. xiv+320 pp. ISBN: 978-0-521-83360-8; 0-521-83360-4
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