63 research outputs found
Anne de Mathan, Girondins jusqu'au tombeau. Une révolte bordelaise dans la Révolution
No full textVinot Bernard. Anne de Mathan, Girondins jusqu'au tombeau. Une révolte bordelaise dans la Révolution. In: Annales historiques de la Révolution française, n°339, 2005. pp. 169-170
Anne de Mathan, Girondins jusqu'au tombeau. Une révolte bordelaise dans la Révolution
No full textVinot Bernard. Anne de Mathan, Girondins jusqu'au tombeau. Une révolte bordelaise dans la Révolution. In: Annales historiques de la Révolution française, n°339, 2005. pp. 169-170
On a mixed Littlewood conjecture in fields of formal series.
No full textIn a recent paper, de Mathan and Teulié asked whether lim infq→+∞q⋅‖qα‖⋅|q|p = 0 holds for every badly approximable real number α and every prime number p. After a survey of the known results on this open problem, we study the analogous question in fields of power serie
On a mixed problem in Diophantine approximation
No full textInternational audienceLet be a positive integer. Let be a prime number. Let be a real algebraic number of degree . We establish that there exist a positive constant and infinitely many algebraic numbers of degree such that |\alpha - \xi| \cdot \min\{|\Norm(\xi)|_p,1\} < c H(\xi)^{-d-1} \, (\log 3 H(\xi))^{-1/d}. Here, and \Norm(\xi) denote the na\"\i ve height of and its norm, respectively. This extends an earlier result of de Mathan and Teulié that deals with the case
Histoires de Terreur: Les Mémoires de François Armand Cholet et Honoré Riouffe
No full textBernard Fauconnier (Collab.)International audienc
Linear forms at a basis of an algebraic number field
No full textAbstractIt was proved by Cassels and Swinnerton-Dyer that the Littlewood conjecture in simultaneous Diophantine approximation holds for any pair of numbers in a cubic field. Later this result was generalized by Peck to a basis (1,α1,…,αn) of a real algebraic number field of degree at least 3. By transference, this result provides some solutions for the dual form of Littlewoodʼs conjecture. Here we find another solutions, and using Bakerʼs estimates for linear forms in logarithms of algebraic numbers, we discuss whether the result is best possible
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