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DLMF:25.16.E13 - MaRDI portal

DLMF:25.16.E13 (Q8462)

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DLMF:25.16.E13
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    Statements

    DLMF defining formula
    ∑ n = 1 ∞ ( h ⁢ ( n ) n ) 2 = 17 4 ⁢ ζ ⁡ ( 4 ) , superscript subscript 𝑛 1 superscript ℎ 𝑛 𝑛 2 17 4 Riemann-zeta 4 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\left(\frac{h(n)}{n}\right)^{2}% =\frac{17}{4}\zeta\left(4\right),}}
    0 references
    Symbols used
    Riemann zeta function
    DLMF defining formula
    ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    xml-id
    C25.S2.E1.m2agdec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1ddec
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    sum
    DLMF defining formula
    h ⁢ ( n ) ℎ 𝑛 {\displaystyle{\displaystyle h(n)}}
    xml-id
    C25.S11.XMD3.m1adec
    0 references
     
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