Sets of exact approximation order by rational numbers III
نویسندگان
چکیده
منابع مشابه
Sets of exact approximation order by rational numbers III
For a function Ψ : R>0 → R>0, let Exact(Ψ) be the set of real numbers that are approximable by rational numbers to order Ψ, but to no order cΨ with 0 < c < 1. When Ψ is non-increasing and satisfies Ψ(x) = o(x−2), we establish that Exact(Ψ) has Hausdorff dimension 2/λ, where λ is the lower order at infinity of the function 1/Ψ. Furthermore, we study the set Exact(Ψ) when Ψ is not assumed to be n...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2011
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa146-2-5