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

2000/02/07 by Yu. Nesterenko, M. Waldschmidt
Mathematics · #math.NT #msc:11J82

paper · pdf

published as Mat. Zapiski, 2, Diophantine approximations, Moscow (1996), 23--42 · 17 pages. See also http://www.math.jussieu.fr/~miw/articles/ps/Nesterenko.ps and http://www.math.jussieu.fr/~nesteren/

arxiv created 2000/02/07 · arxiv updated 2009/11/30

Abstract

A sharp explicit estimate is proved for the difference e^β-α when α and β are nonzero algebraic numbers.

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