A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION
نویسندگان
چکیده
منابع مشابه
Inhomogeneous Diophantine approximation with general error functions
Let α be an irrational and φ : N → R be a function decreasing to zero. For any α with a given Diophantine type, we show some sharp estimations for the Hausdorff dimension of the set Eφ(α) := {y ∈ R : ‖nα− y‖ < φ(n) for infinitely many n}, where ‖ · ‖ denotes the distance to the nearest integer.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2006
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089506002989