Arithmetical functions associated with the \(k\)-ary divisors of an integer (Q1652936)
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scientific article; zbMATH DE number 6904507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetical functions associated with the \(k\)-ary divisors of an integer |
scientific article; zbMATH DE number 6904507 |
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Arithmetical functions associated with the \(k\)-ary divisors of an integer (English)
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17 July 2018
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Summary: The \(k\)-ary divisibility relations are a class of recursively defined relations beginning with standard divisibility and culminating in the so-called infinitary divisibility relation. We examine the summatory functions corresponding to the \(k\)-ary analogues of various popular functions in number theory, proving various results about the structure of the \(k\)-ary divisibility relations along the way.
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divisibility relations
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arithmetic functions
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0.9465289
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0.9380091
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0.92517924
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0.9146452
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0.91387486
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0.9091283
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