Meilleures approximations d'un élément du tore 𝕋² et géométrie de la suite des multiples de cet élément
Nicolas Chevallier (1996)
Acta Arithmetica
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Nicolas Chevallier (1996)
Acta Arithmetica
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Patras, F. (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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Robert Cauty, Tadeusz Dobrowolski, Helma Gladdines, Jan van Mill (1995)
Fundamenta Mathematicae
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Piotr Pragacz (2007)
Annales de l’institut Fourier
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We give the Thom polynomials for the singularities associated with maps with parameter . Our computations combine the characterization of Thom polynomials via the “method of restriction equations” of Rimanyi et al. with the techniques of Schur functions.
Pierre Kaplan, Yoshio Mimura (1996)
Acta Arithmetica
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Renaud Coulangeon (1995)
Acta Arithmetica
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Robert Cauty (1994)
Fundamenta Mathematicae
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For A ⊂ I = [0,1], let be the set of continuous real-valued functions on I which vanish on a neighborhood of A. We prove that if A is an analytic subset which is not an and whose closure has an empty interior, then is homeomorphic to the space of differentiable functions from I into ℝ.
Pierre Kaplan, Yoshio Mimura (1997)
Acta Arithmetica
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Arnaud Jehanne (1995)
Acta Arithmetica
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S. Fabre (1994)
Acta Arithmetica
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Nous généralisons le théorème de Cobham ([2]), en démontrant qu'une partie infinie de ℕ est reconnaissable en base k (k entier strictement plus grand que un) et reconnaissable dans un système de numération associé à un nombre de Pisot unitaire (ayant une propriété arithmétique supplémentaire) si et seulement si elle est ultimement périodique.