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MR1850598 11D75 (11G50 11H55 11J25)
Elkies, Noam D. Rational points near curves and small nonzero $|x^3-y^2|$ via lattice reduction. Algorithmic number theory (Leiden, 2000), 33–63, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.
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