• A G Abercrombie

      Articles written in Proceedings – Mathematical Sciences

    • Badly approximablep-adic integers

      A G Abercrombie

      More Details Abstract Fulltext PDF

      It is known that thep-adic integers that are badly approximable by rationals form a null set with respect to Haar measure. We define a [0,1]-valued dimension function on thep-adic integers analogous to Hausdorff dimension inR and show that with respect to this function the dimension of the set of badly approximablep-adic integers is 1.

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