Arithmetic progressions of \(b\)-Niven numbers (Q6595534)
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scientific article; zbMATH DE number 7903767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic progressions of \(b\)-Niven numbers |
scientific article; zbMATH DE number 7903767 |
Statements
Arithmetic progressions of \(b\)-Niven numbers (English)
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30 August 2024
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A positive integer is a \(b\)-Niven number (or b-harshad number) if it is a multiple of the sum of the digits of its base-\(b\) representation. For each base \(b \geq 2\), the maximum length of a sequence of consecutive \(b\)-Niven numbers is known to be \(2b\). The paper under review mainly provides several characterizations of the maximum lengths of arithmetic progressions of \(b\)-Niven numbers.
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Niven
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Harshad
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arithmetic progression
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