Badly approximable \(p\)-adic integers
The main result of this paper is a construction of a \([0,1]\)-valued dimension function on the \(p\)-adic integers analogous to Hausdorff dimension in \(\mathbb{R}\). The author shows that with respect to this function the dimension of the set of badly approximable \(p\)-adic integers is 1.
scientific article; zbMATH DE number 903345
scientific article