The distribution of self-numbers in arithmetic progressions (Q1331771)
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scientific article; zbMATH DE number 625000
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The distribution of self-numbers in arithmetic progressions |
scientific article; zbMATH DE number 625000 |
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The distribution of self-numbers in arithmetic progressions (English)
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2 April 1995
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Let \(f(a)\) denote the sum of the digits of the integer \(a\) in a given scale. A self-number is an integer \(n\) for which the equation \(n= a+f(a)\) has no solutions. In this paper the results of \textit{U. Zannier} [Proc. Am. Math. Soc. 85, 10-14 (1982; Zbl 0498.10008)] on the counting function for the set of self-numbers are extended to arithmetic progressions.
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sum of digits
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binary scale
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counting function
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self-numbers
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arithmetic progressions
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0.9080034
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0.90114874
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0.89606804
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0.8942752
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0.89421386
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