Effective diophantine approximation on
Effective diophantine approximation on , II
Effective irrationality measures and approximation by algebraic conjugates
Effective measures for algebraic independence of the values of Mahler type functions
Ein Approximationsmaß für transzendente Lösungen gewisser transzendenter Gleichungen.
Erratum «Nouvelles méthodes pour minorer des combinaisons linéaires de logarithmes de nombres algébriques»
Exponents of Diophantine Approximation and Sturmian Continued Fractions
Let be a real number and let be a positive integer. We define four exponents of Diophantine approximation, which complement the exponents and defined by Mahler and Koksma. We calculate their six values when and is a real number whose continued fraction expansion coincides with some Sturmian sequence of positive integers, up to the initial terms. In particular, we obtain the exact exponent of approximation to such a continued fraction by quadratic surds.