A combinatorial proof of the sum of \(q\)-cubes (Q1422152)
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scientific article; zbMATH DE number 2038355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combinatorial proof of the sum of \(q\)-cubes |
scientific article; zbMATH DE number 2038355 |
Statements
A combinatorial proof of the sum of \(q\)-cubes (English)
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5 February 2004
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A \(q\)-analogue of the classical formula for the sum of cubes and its bijective proof using integer partitions has been given. This \(q\)-analogue maintains some combinatorial properties of the classical formula. The authors express their hope for the existence of other \(q\)-analogues of the sum of the cubes formula. The reviewer feels that this \(q\)-analogue of the cubes formula is not an isolated result. So it may be of interest to look for an analytical proof of this formula.
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sum of cubes
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bijective proof
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integer position
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integer partitions
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