On sum-sets and product-sets of complex numbers (Q819889)
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scientific article; zbMATH DE number 5016594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sum-sets and product-sets of complex numbers |
scientific article; zbMATH DE number 5016594 |
Statements
On sum-sets and product-sets of complex numbers (English)
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30 March 2006
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There is a celebrated result of Elekes showing that \(n\) real numbers have \(cn^{5/4}\) different sums or \(cn^{5/4}\) different products. The present note proves this result for complex numbers, and points out that quaternions or Cayley numbers allow the same result.
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sum-sets
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product-sets
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