A divisor problem. I (Q1320538)
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scientific article; zbMATH DE number 556442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A divisor problem. I |
scientific article; zbMATH DE number 556442 |
Statements
A divisor problem. I (English)
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24 April 1994
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Let \(\alpha\geq 1\) be a real number and let \(\tau_ \alpha(n)\) be the number of divisors \(d\) of \(n\) of the form \(d= [\alpha m]\), where \(m\) is an integer. The author investigates the asymptotic behaviour of the sum \(\sum_{n\leq x} \tau_ \alpha (n)\) for large \(x\), provided that \(\alpha\) is an irrational number.
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divisor functions
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asymptotic behaviour
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