DLMF:25.16.E1 (Q7756)

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DLMF:25.16.E1
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    Statements

    Defining formula
    ψ ⁡ ( x ) = ∑ m = 1 ∞ ∑ p m ≤ x ln ⁡ p , Chebyshev-psi 𝑥 superscript subscript 𝑚 1 subscript superscript 𝑝 𝑚 𝑥 𝑝 {\displaystyle{\displaystyle\psi\left(x\right)=\sum_{m=1}^{\infty}\sum_{p^{m}% \leq x}\ln p,}}
    0 references
    DLMF id
    DLMF:25.16.E1
    0 references
    Symbols used
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q12151
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C25.S1.XMD2.m1dec
    0 references
     
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