Résumé
Nous donnons un aperçu historique sur le sujet, en distinguant deux types de résultats : d'une part ceux qui conduisent à produire des ensembles de nombres algébriquement indépendants (dont certains ont la puissance du continu) par des valeurs de séries lacunaires, d'autre part ceux qui reposent sur des énoncés d'approximation diophantienne, en particulier des mesures de transcendance.
Keywords
- Algebraic Number
- Diophantine Approximation
- Arithmetic Property
- Algebraic Independence
- Transcendental Number
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Waldschmidt, M. (1990). Independance algebrique de nombres de Liouville. In: Langevin, M., Waldschmidt, M. (eds) Cinquante Ans de Polynômes Fifty Years of Polynomials. Lecture Notes in Mathematics, vol 1415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084891
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