Conjecture de Littlewood et récurrences linéaires
Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 249-266.

Ce travail est essentiellement consacré à la construction d’exemples effectifs de couples (α,β) de nombres réels à constantes de Markov finies, tels que 1,α et β soient 𝐙-linéairement indépendants, et satisfaisant à la conjecture de Littlewood.

This work is essentially devoted to construct effective examples of pairs of continued fractions (α,β) with bounded quotients, such that 1,α and β are 𝐙-linearly independent, and satisfying Littlewood’s conjecture.

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     author = {de Mathan, Bernard},
     title = {Conjecture de {Littlewood} et r\'ecurrences lin\'eaires},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {249--266},
     publisher = {Universit\'e Bordeaux I},
     volume = {15},
     number = {1},
     year = {2003},
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     url = {http://www.numdam.org/item/JTNB_2003__15_1_249_0/}
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de Mathan, Bernard. Conjecture de Littlewood et récurrences linéaires. Journal de théorie des nombres de Bordeaux, Tome 15 (2003) no. 1, pp. 249-266. http://www.numdam.org/item/JTNB_2003__15_1_249_0/

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