Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\) (Q1909968)
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scientific article; zbMATH DE number 861589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\) |
scientific article; zbMATH DE number 861589 |
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Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\) (English)
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21 July 1996
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Summary: If \(k\) is a positive real number, we say that a set \(S\) of real numbers is \(k\)-sum-free if there do not exist \(x\), \(y\), \(z\) in \(S\) such that \(x+ y= kz\). For \(k\) greater than or equal to 4 we find the essentially unique measurable \(k\)-sum-free subset of \((0, 1]\) of maximum size.
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\(k\)-sum-free subset
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