Functions of Number Theory - 27.9 Quadratic Characters
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 27.9.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{-1}{p} = (-1)^{(p-1)/2}}
\Legendresym{-1}{p} = (-1)^{(p-1)/2} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(- 1, p) = (- 1)^((p - 1)/2)
|
Error
|
Failure | Missing Macro Error | Error | - |
| 27.9.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{2}{p} = (-1)^{(p^{2}-1)/8}}
\Legendresym{2}{p} = (-1)^{(p^{2}-1)/8} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(2, p) = (- 1)^(((p)^(2)- 1)/8)
|
Error
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Failure | Missing Macro Error | Error | - |
| 27.9.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4}}
\Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | LegendreSymbol(p, q)*LegendreSymbol(q, p) = (- 1)^((p - 1)*(q - 1)/4)
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Error
|
Failure | Missing Macro Error | Error | - |