Sums and products from a finite set of real numbers (Q1265260)
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scientific article; zbMATH DE number 1203258
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums and products from a finite set of real numbers |
scientific article; zbMATH DE number 1203258 |
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Sums and products from a finite set of real numbers (English)
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7 March 1999
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Let \(A\) be a set of real numbers. Put \(hA=\{x_1+x_2+ \cdots +x_h \mid x_i\in A\}\) and \(A^h=\{x_1x_2 \cdots x_h \;| \;x_i\in A\}\). The author deals with a conjecture of P. Erdős stating that \(hA\cup A^h\) has large cardinality. As observed at the end of the paper, the best results known on this conjecture are due to \textit{G. Elekes} [Acta Arith. 81, 365-367 (1997; Zbl 0887.11012)].
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sumsets
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cardinality
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