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DLMF:27.2.E13 - MaRDI portal

DLMF:27.2.E13 (Q8693)

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DLMF:27.2.E13
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    Statements

    DLMF defining formula
    λ ⁡ ( n ) = { 1 , n = 1 , ( - 1 ) a 1 + … + a ν ⁡ ( n ) , n > 1 . Liouville-lambda 𝑛 cases 1 𝑛 1 superscript 1 subscript 𝑎 1 … subscript 𝑎 number-of-primes-dividing-nu 𝑛 𝑛 1 {\displaystyle{\displaystyle\lambda\left(n\right)=\begin{cases}1,&n=1,\\ (-1)^{a_{1}+\dots+a_{\nu\left(n\right)}},&n>1.\end{cases}}}
    0 references
    Symbols used
    Q12236
    DLMF defining formula
    ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p1.m6abdec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1jdec
    0 references
    primitive root
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C27.S2.XMD2.m1cdec
    0 references

    Identifiers

     
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