The number of solutions of a system of congruences (Q1219318)
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scientific article; zbMATH DE number 3485884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of solutions of a system of congruences |
scientific article; zbMATH DE number 3485884 |
Statements
The number of solutions of a system of congruences (English)
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1975
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Given a positive integer \(m\) greater than 3, the exact number of incongruent \(x\) modulo \(m(m-1)(m-2)\) satisfying simultaneously the divisibility conditions \((m-2)\mid (x-2)\), \((m-1)(m-2)\mid (x-1)(x-2)\), and \(m(m-1)(m-2)\mid x(x-1)(x-2)\) is given.
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