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DLMF:27.11.E13 - MaRDI portal

DLMF:27.11.E13 (Q8775)

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DLMF:27.11.E13
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    Statements

    DLMF defining formula
    lim x → ∞ ⁡ 1 x ⁢ ∑ n ≤ x μ ⁡ ( n ) = 0 , subscript → 𝑥 1 𝑥 subscript 𝑛 𝑥 Moebius-mu 𝑛 0 {\displaystyle{\displaystyle\lim_{x\to\infty}\frac{1}{x}\sum_{n\leq x}\mu\left% (n\right)=0,}}
    0 references
    Symbols used
    Möbius function
    DLMF defining formula
    μ ⁡ ( n ) Moebius-mu 𝑛 {\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E12.m2aadec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1hdec
    0 references
    real number
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C27.S1.XMD6.m1ldec
    0 references

    Identifiers

     
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