DLMF:27.8.E5 (Q8051)

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DLMF:27.8.E5
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    Statements

    Defining formula
    χ 1 ⁡ ( n ) = { 1 , ( n , k ) = 1 , 0 , ( n , k ) > 1 . Dirichlet-character 1 𝑛 𝑘 cases 1 𝑛 𝑘 1 0 𝑛 𝑘 1 {\displaystyle{\displaystyle\chi_{1}\left(n\right)=\begin{cases}1,&\left(n,k% \right)=1,\\ 0,&\left(n,k\right)>1.\end{cases}}}
    0 references
    DLMF id
    DLMF:27.8.E5
    0 references
    Symbols used
    Q12252
    Defining formula
    χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(\NVar{n}\right)}}
    xml-id
    C27.S8.m1addec
    0 references
    Q12093
    Defining formula
    ( m , n ) 𝑚 𝑛 {\displaystyle{\displaystyle\left(\NVar{m},\NVar{n}\right)}}
    xml-id
    C27.S1.p2.t1.r3.m6aadec
    0 references
    Q12238
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1ddec
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    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1cdec
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    Q12253
    Defining formula
    χ ⁡ ( n ) Dirichlet-character 𝑛 𝑘 {\displaystyle{\displaystyle\chi\left(n\right)}}
    xml-id
    C27.S8.XMD1.m1ddec
    0 references
     
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