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- W3005616093 abstract "We show that affine subspaces of Euclidean space are of Khintchine type for divergence under certain multiplicative Diophantine conditions on the parametrizing matrix. This provides evidence towards the conjecture that all affine subspaces of Euclidean space are of Khintchine type for divergence, or that Khintchine's theorem still holds when restricted to the subspace. This result is proved as a special case of a more general Hausdorff measure result from which the Hausdorff dimension of W(tau) intersected with an appropriate subspace is also obtained." @default.
- W3005616093 created "2020-02-24" @default.
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- W3005616093 date "2020-02-14" @default.
- W3005616093 modified "2023-09-27" @default.
- W3005616093 title "A Khintchine type theorem for affine subspaces" @default.
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