A problem of Erdős on Abelian groups (Q1101829)
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scientific article; zbMATH DE number 4047955
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A problem of Erdős on Abelian groups |
scientific article; zbMATH DE number 4047955 |
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A problem of Erdős on Abelian groups (English)
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1987
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The following theorem is proved. If \(a_ 1,a_ 2,...,a_ n\) are nonzero elements in \({\mathbb{Z}}_ n\), and are not all equal, then \(\epsilon_ 1a_ 1+\epsilon_ 2a_ 2+...+\epsilon_ na_ n=0\) has at least n solutions with \(\epsilon_ i=0\) or 1.
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number of solutions
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finite abelian group
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