Méthodes algébriques et démonstrations de transcendance locales.
Methods for algebraic independence.
Metric and arithmetic properties of mediant-Rosen maps
Metric Diophantine approximation on the middle-third Cantor set
Let be a real number and let denote the set of real numbers approximable at order at least by rational numbers. More than eighty years ago, Jarník and, independently, Besicovitch established that the Hausdorff dimension of is equal to . We investigate the size of the intersection of with Ahlfors regular compact subsets of the interval . In particular, we propose a conjecture for the exact value of the dimension of intersected with the middle-third Cantor set and give several results...
Metric Diophantine approximation with two restricted variables. IV. Miscellaneous results
Metric inhomogeneous Diophantine approximation on the field of formal Laurent series
Metric results on the approximation of zero by linear combinations of independent and of dependent rationals.
Metrical results on sums of squares and prime values of the integer parts of sequences
Metrical theorems for inhomogeneous Diophantine approximation in positive characteristic
Metrical theorems on fractional parts of real sequences.
Metrische Ergebnisse über den Kotangensalgorithmus
Metrische Sätze über simultane Approximation abhängiger Größen.
Minoration de combinaisons linéaires de deux logarithmes -adiques
Minoration de la discrépance à l'origine d'une suite quelconque
Minoration de la hauteur normalisée des hypersurfaces
1. Introduction. Dans un article célèbre, D. H. Lehmer posait la question suivante (voir [Le], §13, page 476): «The following problem arises immediately. If ε is a positive quantity, to find a polynomial of the form: where the a’s are integers, such that the absolute value of the product of those roots of f which lie outside the unit circle, lies between 1 and 1 + ε (...). Whether or not the problem has a solution for ε < 0.176 we do not know.» Cette question, toujours ouverte, est la source...
Minorations de combinaisons linéaires de logarithmes p-adiques de nombres algébriques [Book]
Minorations de formes linéaires de logarithmes elliptiques
Minorations des hauteurs normalisées des sous-variétés des tores
Minorations du rang -adique du groupe des unités
Minorations effectives de formes linéaires de logarithmes (aperçu historique)