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Independance algebrique de nombres de Liouville

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Cinquante Ans de Polynômes Fifty Years of Polynomials

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1415))

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.

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  1. Institut Henri Poincaré, C.N.R.S. U.A. 763 (Problèmes Diophantiens), 11, rue P. et M. Curie, 75231, Paris Cedex 05

    Michel Waldschmidt

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  1. Michel Waldschmidt
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Michel Langevin Michel Waldschmidt

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© 1990 Springer-Verlag

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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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  • DOI: https://doi.org/10.1007/BFb0084891

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  • Print ISBN: 978-3-540-52190-7

  • Online ISBN: 978-3-540-46919-3

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