On a Problem of Mahler Concerning the Approximation of Exponentials and Logarithms

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We first propose two conjectural estimates on Diophantine approximation of logarithms of algebraic numbers. Next we discuss the state of the art and we give further partial results on this topic.
20 pages. To appear in Publ. Math. Debrecen, 56, 3-4 (2000) See also http://www.math.jussieu.fr/~miw/articles/Debrecen.html

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