On primitive 3-smooth partitions of \(n\). (Q1378490)
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scientific article; zbMATH DE number 1117987
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On primitive 3-smooth partitions of \(n\). |
scientific article; zbMATH DE number 1117987 |
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On primitive 3-smooth partitions of \(n\). (English)
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12 February 1998
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Summary: A primitive 3-smooth partition of \(n\) is a representation of \(n\) as the sum of numbers of the form \(2^a 3^b\), where no summand divides another. Partial results are obtained in the problem of determining the maximal and average order of the number of such representations. Results are also obtained regarding the size of the terms in such a representation, resolving questions of Erdős and Selfridge.
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primitive partitions
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Erdős-Selfridge problem
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0.8332269787788391
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0.7522455453872681
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0.7412460446357727
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