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MR1433423 (98d:11083) 11J68 (11J82)
Bombieri, E.; Van der Poorten, A. J.; Vaaler, J. D. Effective measures of irrationality for cubic extensions of number fields. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 23 (1996), no. 2, 211--248.
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