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arxiv: math/0002047 · v1 · pith:PLY6ZPXDnew · submitted 2000-02-07 · 🧮 math.NT

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

Yu. Nesterenko (Moscow) , M. Waldschmidt (Paris) This is my paper
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keywords algebraicalphanumbersapproximationbetabeta-differenceestimate
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A sharp explicit estimate is proved for the difference $e^\beta-\alpha$ when $\alpha$ and $\beta$ are nonzero algebraic numbers.

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