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- W4287978250 abstract "We generalize Khintchine's method of constructing totally irrational singular vectors and linear forms. The main result of the paper shows existence of totally irrational vectors and linear forms with large uniform Diophantine exponents on certain subsets of $mathbb{R}^n$, in particular on any analytic submanifold of $mathbb{R}^n$ of dimension $ge 2$ which is not contained in a proper rational affine subspace." @default.
- W4287978250 created "2022-07-26" @default.
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- W4287978250 date "2019-12-30" @default.
- W4287978250 modified "2023-09-27" @default.
- W4287978250 title "Singular vectors on manifolds and fractals" @default.
- W4287978250 doi "https://doi.org/10.48550/arxiv.1912.13070" @default.
- W4287978250 hasPublicationYear "2019" @default.
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