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Does anyone know of a p-adic analogue of Liouville's approximation theorem http://mathworld.wolfram.com/LiouvillesApproximationTheorem.html with proof?

I'm aware of Roth's theorem and subspace theorems which can be generalized to p-adic numbers, these are different in that the constants are not effective.

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Anatoly: Is this the only paper on the subject? It looks like it's generalized over any extension field. –  Kale May 5 '12 at 8:33
    
I'm intereste in ways that ordinary Liouville's theorem relates to p-adic Liouville's theorem –  Kale May 5 '12 at 8:51
    
So far I found only this one. –  Anatoly Kochubei May 5 '12 at 9:10
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See the paper by J.-H. Evertse, http://www.math.leidenuniv.nl/~evertse/99-sym.pdf

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