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- W3094392386 abstract "Let ϕ:N→R+ be a non-decreasing function such that ϕ(n)/logn →∞ as n→∞. In this paper, we completely determine the Hausdorff dimension of the setEϕ={x∈(0,1]:limn→∞logdn(x)ϕ(n)=1}, where dn(x) is the digit of the Engel expansion of x. It significantly generalises the existing results on the Hausdorff dimension of Eϕ. Besides, some analogous results for gaps and ratios of consecutive digits are also provided." @default.
- W3094392386 created "2020-10-29" @default.
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- W3094392386 date "2021-02-01" @default.
- W3094392386 modified "2023-09-25" @default.
- W3094392386 title "On the growth speed of digits in Engel expansions" @default.
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- W3094392386 doi "https://doi.org/10.1016/j.jnt.2020.09.014" @default.
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