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

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

2000-02-07

arxiv.org/abs/math/0002047v1

Mat. Zapiski, 2, Diophantine approximations, Moscow (1996), 23--42

Mathematics

Number Theory

17 pages. See also http://www.math.jussieu.fr/~miw/articles/ps/Nesterenko.ps and http://www.math.jussieu.fr/~nesteren/

Scientific paper

A sharp explicit estimate is proved for the difference $e^\beta-\alpha$ when
$\alpha$ and $\beta$ are nonzero algebraic numbers.

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