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arxiv math/0002047 v1 pith:PLY6ZPXD 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
classification math.NT
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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Cited by 1 Pith paper

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  1. Integer points close to a transcendental curve: an algorithmic approach

    math.NT 2026-06 unverdicted novelty 5.0

    New algorithms locate integer points near transcendental curves and demonstrate practical speedups for solving the Table Maker's Dilemma in correct rounding.