On the approximation of the values of exponential function and logarithm by algebraic numbers

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A sharp explicit estimate is proved for the difference $e^β-α$ when $α$ and $β$ are nonzero algebraic numbers.
17 pages. See also http://www.math.jussieu.fr/~miw/articles/ps/Nesterenko.ps and http://www.math.jussieu.fr/~nesteren/

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