Ein Kriterium für die algebraischen Zahlen
Eine Bemerkung über irrationale Werte und Nichtfortsetzbarkeit von Potenzreihen mit ganzzahligen Koeffizienten
Elasticity in certain block monoids via the Euclidean table
Elementary proof of Yu. V. Nesterenko expansion of the number zeta(3) in continued fraction.
Endpoints of Gaps in the Markoff Spectrum.
Entropies of the partitions of the unit interval generated by the Farey tree
Equations with equivalent roots
Ergodic and Diophantine properties of algorithms of Selmer type
Ergodic Theory for Complex Continued Fractions.
Explicit Representations of Dirichlet Approximations.
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.
Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée
On montre que les exposants de Lyapunov de l’algorithme de Jacobi-Perron, en dimension quelconque, sont tous différents et que la somme des exposants extrêmes est strictement positive. En particulier, si , le deuxième exposant est strictement négatif.