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

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

2000-01-27

arxiv.org/abs/math/0001155v1

Mathematics

Number Theory

20 pages. To appear in Publ. Math. Debrecen, 56, 3-4 (2000) See also http://www.math.jussieu.fr/~miw/articles/Debrecen.html

Scientific paper

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.

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