DLMF:25.11.E24 (Q7698)

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Language	Label	Description	Also known as
English	DLMF:25.11.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{r=1}^{k-1}\zeta'\left(s,\frac{r}{k}\right)=(% k^{s}-1)\zeta'\left(s\right)+k^{s}\zeta\left(s\right)\ln k,}}

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DLMF:25.11.E24

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{\displaystyle{\displaystyle k=1,2,3,\dots}}

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Hurwitz zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

C25.S11.E1.m2aydec

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Riemann zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}

C25.S2.E1.m2afdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2afdec

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Sitelinks

Wikipedia(0 entries)

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