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MR2041072 (2004m:11206) 11U05 (03D35 11G05)
Poonen, Bjorn Using elliptic curves of rank one towards the undecidability of Hilbert's tenth problem over rings of algebraic integers. Algorithmic number theory (Sydney, 2002), 33–42, Lecture Notes in Comput. Sci., 2369, Springer, Berlin, 2002.
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