Ce travail est essentiellement consacré à la construction d’exemples effectifs de couples de nombres réels à constantes de Markov finies, tels que et soient -linéairement indépendants, et satisfaisant à la conjecture de Littlewood.
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
We find an asymptotic formula for the number of rational points near planar curves. More precisely, if f:ℝ → ℝ is a sufficiently smooth function defined on the interval [η,ξ], then the number of rational points with denominator no larger than Q that lie within a δ-neighborhood of the graph of f is shown to be asymptotically equivalent to (ξ-η)δQ².