On the exact rate of convergence of digits in Engel expansions
The authors consider sets of irrational number \(x\in(0,1)\) with given growth rates of digits in their Engel expansion. For these sets a Baire classification is given and their Hausdorff dimension is determined. The paper improves results found in [\textit{J. Liu}, Fractals 28, No. 7, Article ID 2050140, 9 p. (2020; Zbl 1495.11094)].
scientific article; zbMATH DE number 7852346
scientific article