Formula:DLMF:25.16:E13

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formula in Mathematical Applications

Formula:DLMF:25.16:E14 >>

${\displaystyle{\displaystyle{\displaystyle\sum_{n=1}^{\infty}\left(\frac{H_{n}}{n}\right)^{2}=\frac{17}{4}\RiemannZeta@{4}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\Sigma}}}$ : sum : http://drmf.wmflabs.org/wiki/Definition:sum
${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : Harmonic number : http://dlmf.nist.gov/25.11#E33
${\displaystyle{\displaystyle{\displaystyle\zeta}}}$ : Riemann zeta function : http://dlmf.nist.gov/25.2#E1

Bibliography

Equation (13), Section 25.16 of DLMF.

URL links

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