A reconsideration of Legendre-Jacobi symbols (Q758502)
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scientific article; zbMATH DE number 3422453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A reconsideration of Legendre-Jacobi symbols |
scientific article; zbMATH DE number 3422453 |
Statements
A reconsideration of Legendre-Jacobi symbols (English)
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1973
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The authors point out that the classical definition of the Jacobi symbol \((a:b)\) is inconvenient for \(b < 0\). They suggest that either \((a:-1)= \mathrm{sgn}\, a\) or \((a:-1)=1,-1\) for \(a\equiv 1, 3\pmod 4\) would be better than the classical \((a:-1)=1\).
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Jacobi symbol
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negative values
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