Non-canonical extensions of Erdős-Ginzburg-Ziv theorem (Q2784340)
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scientific article; zbMATH DE number 1732183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-canonical extensions of Erdős-Ginzburg-Ziv theorem |
scientific article; zbMATH DE number 1732183 |
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23 April 2002
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Erdős-Ginzburg-Ziv theorem
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Non-canonical extensions of Erdős-Ginzburg-Ziv theorem (English)
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This paper is concerned with the so-called Erdős-Ginzburg-Ziv theorem stating that (1) of any \(2n-1\) (not necessarily distinct) integers, one can always extract \(n\) such that their sum is divisible by \(n\); (2) result (1) is false with \(2n-2\) instead of \(2n-1\).NEWLINENEWLINE The present article recalls, surveys and establishes several generalizations of this result.
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