DLMF:27.8.E2 (Q8048): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12252 / rank
 
Normal rank
Property / Symbols used: Q12252 / qualifier
 
test:

χ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}}

\Dirichletchar[]@@{\NVar{n}}{\NVar{k}}
Property / Symbols used: Q12252 / qualifier
 
xml-id: C27.S8.m1aadec
Property / Symbols used
 
Property / Symbols used: Q12238 / rank
 
Normal rank
Property / Symbols used: Q12238 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12238 / qualifier
 
xml-id: C27.S1.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12239 / rank
 
Normal rank
Property / Symbols used: Q12239 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12239 / qualifier
 
xml-id: C27.S1.XMD3.m1dec

Latest revision as of 13:21, 2 January 2020

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DLMF:27.8.E2
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    Statements

    χ ( m n ) = χ ( m ) χ ( n ) , Dirichlet-character 𝑚 𝑛 𝑘 Dirichlet-character 𝑚 𝑘 Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(mn\right)=\chi\left(m\right)\chi\left(n% \right),}}
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    m , n = 1 , 2 , formulae-sequence 𝑚 𝑛 1 2 {\displaystyle{\displaystyle m,n=1,2,\dots}}
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    χ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}}
    C27.S8.m1aadec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C27.S1.XMD2.m1adec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C27.S1.XMD3.m1dec
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