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MR848850 (87k:11034) 11D41 (11J87 11Y50)
Evertse, J.-H.; Silverman, J. H. Uniform bounds for the number of solutions to $Y\sp n=f(X)$. Math. Proc. Cambridge Philos. Soc. 100 (1986), no. 2, 237--248.
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