For weighted inhomogeneous Dirichlet approximation, the Hausdorff f-measure of non-improvable matrices is zero when a certain series converges and full when it diverges.
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Hausdorff measure of sets of inhomogeneous Dirichlet non-improvable affine forms with weights
For weighted inhomogeneous Dirichlet approximation, the Hausdorff f-measure of non-improvable matrices is zero when a certain series converges and full when it diverges.