Functions of Number Theory - 27.8 Dirichlet Characters
| DLMF | Formula | Constraints | Maple | Mathematica | Symbolic Maple |
Symbolic Mathematica |
Numeric Maple |
Numeric Mathematica |
|---|---|---|---|---|---|---|---|---|
| 27.8.E1 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Dirichletchar[]@@{1}{k} = 1}
\Dirichletchar[]@@{1}{k} = 1 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
DirichletCharacter[1, k, 1] == 1
|
Missing Macro Error | Missing Macro Error | - | - |
| 27.8.E2 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Dirichletchar[]@@{mn}{k} = \Dirichletchar[]@@{m}{k}\Dirichletchar[]@@{n}{k}}
\Dirichletchar[]@@{mn}{k} = \Dirichletchar[]@@{m}{k}\Dirichletchar[]@@{n}{k} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
DirichletCharacter[1, k, m*n] == DirichletCharacter[1, k, m]*DirichletCharacter[1, k, n]
|
Missing Macro Error | Missing Macro Error | - | - |
| 27.8.E3 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Dirichletchar[]@@{n+k}{k} = \Dirichletchar[]@@{n}{k}}
\Dirichletchar[]@@{n+k}{k} = \Dirichletchar[]@@{n}{k} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
DirichletCharacter[1, k, n + k] == DirichletCharacter[1, k, n]
|
Missing Macro Error | Missing Macro Error | - | - |
| 27.8.E4 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Dirichletchar[]@@{n}{k} = 0}
\Dirichletchar[]@@{n}{k} = 0 |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \pgcd{n > 1, k} > 1} | Error
|
DirichletCharacter[1, k, n] == 0
|
Missing Macro Error | Missing Macro Error | - | - |
| 27.8.E8 | Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Dirichletchar[]@@{n}{k} = \Dirichletchar[0]@@{n}{k}\Dirichletchar[1]@@{n}{k}}
\Dirichletchar[]@@{n}{k} = \Dirichletchar[0]@@{n}{k}\Dirichletchar[1]@@{n}{k} |
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle } | Error
|
DirichletCharacter[1, k, n] == DirichletCharacter[0, k, n]*DirichletCharacter[1, k, n]
|
Missing Macro Error | Missing Macro Error | - | - |