Sets of exact approximation order by rational numbers

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Exponents of Diophantine approximation (2006, background): “nitely many algebraic numbers αof degree ≤ n, and |ξ− α| ≥ c(ξ)H(α)−τ(n+1), for every algebraic number αof degree ≤ n, non-empty? If yes, determine its Hausdorﬀ dimension. Problem 9.11has been solved [14]when n= 1.One may alsoreplace the approximation functions x→ x−τ(n+1) by more general non-increa”
Diophantine approximation and Cantor sets (2008, methodology): “Remark 4 Under the additional assumptions that x → x2 (x) is non-increasing and that the sum ∑ x≥1 x (x) converges, the Hausdorff dimension of the set Exact( ) has been determined in [4]: it is equal to the Hausdorff dimension of K( ).”