Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 8, Issue 2


Published
on

March 27, 2013


Pages

151-156


DOI

Article

Note on the Duffin-Schaeffer Conjecture


Authors

Liangpan Li Affiliation:
Department of Mathematical Sciences Loughborough University LE11 3TU, UK


Abstract

Given a sequence of real numbers {ψ(n)} n∈N with 0 ≤ ψ(n) < 1, let W (ψ) denote the set of x ∈ [0, 1] for which |xn−m| 0 such that ψ(n)1+· ϕ(n) = ∞, then the Lebesgue measure n∈N n of W (ψ) equals 1.


Keywords

Duffin-Schaeffer conjecture, Hausdorff dimension.


Citation

Li, L. (2013). Note on the duffin-schaeffer conjecture. Uniform Distribution Theory, 8(2), 151–156.

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