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

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12253 / rank
 
Normal rank
Property / Symbols used: Q12253 / qualifier
 
Defining formula:

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

\Dirichletchar[]@@{n}{k}
Property / Symbols used: Q12253 / qualifier
 
xml-id: C27.S8.XMD1.m1adec

Latest revision as of 14:21, 2 January 2020

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DLMF:27.8.E2
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    Statements

    Defining formula
    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),}}
    0 references
    DLMF id
    DLMF:27.8.E2
    0 references
    constraint
    m , n = 1 , 2 , … formulae-sequence 𝑚 𝑛 1 2 … {\displaystyle{\displaystyle m,n=1,2,\dots}}
    0 references
    Symbols used
    Q12252
    Defining formula
    χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}}
    xml-id
    C27.S8.m1aadec
    0 references
    Q12238
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1adec
    0 references
    Q12239
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C27.S1.XMD3.m1dec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1dec
    0 references
    Q12253
    Defining formula
    χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(n\right)}}
    xml-id
    C27.S8.XMD1.m1adec
    0 references
     
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