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MR2574889 11D61 (11D45 11R18)
Corvaja, P.; Schmidt, W. M.; Zannier, U. The Diophantine equation $\alpha^{x_1}_1\cdots\alpha^{x_n}_n=f(x_1,\dots,x_n)$. II. Trans. Amer. Math. Soc. 362 (2010), no. 4, 2115–2123.
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