On the natural density of the range of the terminating nines function (Q1263609)
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scientific article; zbMATH DE number 4127293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the natural density of the range of the terminating nines function |
scientific article; zbMATH DE number 4127293 |
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On the natural density of the range of the terminating nines function (English)
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1989
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The function \(t(n)=\sum_{t\geq 1}[n/10^ t]\), where [ ] is the integer part function, gives the number of terminating nines which occur in the natural numbers up to n but not including n. Let T be the set defined by \(T=\{t(n):\) \(n=1,2,...\}\) and denote by T(x) the number of elements in T not exceeding x. The authors show that \(\lim_{x\to \infty}(T(x)/x)=9/10.\)
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digital sums
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terminating nines
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natural density
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