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Let $μ \geq 2$ be a real number and let $ℳ (μ)$ denote the set of real numbers approximable at order at least $μ$ by rational numbers. More than eighty years ago, Jarník and, independently, Besicovitch established that the Hausdorff dimension of $ℳ (μ)$ is equal to $2 / μ$ . We investigate the size of the intersection of $ℳ (μ)$ with Ahlfors regular compact subsets of the interval $[0, 1]$ . In particular, we propose a conjecture for the exact value of the dimension of $ℳ (μ)$ intersected with the middle-third Cantor set and give several results...

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Méthodes algébriques et démonstrations de transcendance locales.

Méthodes analytiques rigides dans la théorie arithmétique des corps de fonctions

Méthodes de crible et fonctions sommes des chiffres

Méthodes de factorisation et nombre de classes des corps quadratiques

Méthodes d'optimisation pour un problème de théorie des nombres

Méthodes élémentaires en vue du théorème de Sylvester

Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.

Méthodes probabilistes en théorie des nombres

Methods for algebraic independence.

Metric and arithmetic properties of mediant-Rosen maps

Metric diophantine approximation and probability.

Metric diophantine approximation in Julia sets of expanding rational maps

Metric Diophantine approximation on the middle-third Cantor set

Metric Diophantine approximation with two restricted variables. IV. Miscellaneous results

Metric distribution results for sequences $({q_{n} \vec{α}})$

Metric inhomogeneous Diophantine approximation on the field of formal Laurent series

Metric properties for p-adic Oppenheim series expansions

Metric properties of alternating Lüroth series

Metric properties of alternating Oppenheim expansions

Metric properties of Engel series expansions of Laurent series

Currently displaying 141 – 160 of 440