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DLMF:27.6.E1 - MaRDI portal

DLMF:27.6.E1 (Q8726)

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DLMF:27.6.E1
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    Statements

    DLMF defining formula
    βˆ‘ d | n Ξ» ⁑ ( d ) = { 1 , n ⁒  is a square , 0 , otherwise . subscript divides 𝑑 𝑛 Liouville-lambda 𝑑 cases 1 𝑛  is a square 0 otherwise {\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\lambda\left(d\right)=\begin{% cases}1,&n\mbox{ is a square},\\ 0,&\mbox{otherwise}.\end{cases}}}
    0 references
    Symbols used
    Liouville’s function
    DLMF defining formula
    Ξ» ⁑ ( n ) Liouville-lambda 𝑛 {\displaystyle{\displaystyle\lambda\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E13.m2adec
    0 references
    positive integer
    DLMF defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C27.S1.XMD1.m1dec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1dec
    0 references

    Identifiers

     
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