DLMF:25.11.E15 (Q7689)

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Language	Label	Description	Also known as
English	DLMF:25.11.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(s,ka\right)=k^{-s}\*\sum_{n=0}^{k-1}% \zeta\left(s,a+\frac{n}{k}\right),}}

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DLMF:25.11.E15

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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.m2apdec

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Defining formula

{\displaystyle{\displaystyle k}}

C25.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C25.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C25.S1.XMD3.m1jdec

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Defining formula

{\displaystyle{\displaystyle a}}

C25.S1.XMD6.m1ndec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1kdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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