The Hausdorff dimension of a set of normal numbers
The Hausdorff dimension of a set of normal numbers
Suppose that numbers 2,3, are partitioned into two disjoint classes R, S so that rational powers lie in the same class.In this paper we prove that the set of numbers ξ which are normal to every base from R and to no base from S has Hausdorff dimension 1.The existence …