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Apr 14, 2010 at 16:18 comment added Vladimir Dotsenko Thanks a lot, that was really helpful! My search brought up an even stronger result, in the spirit of Thue-Siegel-Roth: MR048568 Osgood, Charles F. Concerning a possible ``Thue-Siegel-Roth theorem'' for algebraic differential equations. Number theory and algebra, pp. 223--234. Academic Press, New York, 1977.
Apr 14, 2010 at 12:39 history answered Felipe Voloch CC BY-SA 2.5