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

Michel Waldschmidt (1)

1 IMJ - Institut de Mathématiques de Jussieu

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.

Domaines: Théorie des nombres [math.NT]

Michel Waldschmidt. On a Problem of Mahler Concerning the Approximation of Exponentials and Logarithms. Publicationes Mathematicae Debrecen, 2000, 56, pp.30. ⟨hal-00009198⟩