On the Hausdorff Dimension of weighted exactly Approximable Vectors

preprint2026arXivOpen access

Abstract

We show that the Hausdorff dimension of w\boldsymbol w-weighted ττ-exactly approximable vectors in Rd\mathbb R^d coincides with the Hausdorff dimension of w\boldsymbol w-weighted ττ-approximable vectors, generalizing a result of the first named author and De Saxcé.

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