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- W1977445595 abstract "Let m , n , be positive integers and let Q be an infinite subset of Z n . For any number τ, define the set [formula]. It is shown in this paper that if ν ∈ [0, n ] is the unique number such that the series [formula] is convergent when ϵ > 0 but divergent when ϵ < 0, then the Hausdorff dimension of the set E Q ( m , n ; τ) is dim E Q (m, n; τ) = mn − 1 + (1 + ν)/(1 + τ), for all τ > ν." @default.
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- W1977445595 date "1994-07-01" @default.
- W1977445595 modified "2023-10-18" @default.
- W1977445595 title "The Hausdorff Dimension of Sets of Points Whose Simultaneous Rational Approximation by Sequences of Integer Vectors Have Errors with Small Product" @default.
- W1977445595 doi "https://doi.org/10.1006/jnth.1994.1053" @default.
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