DLMF:25.6.E6 (Q7643)

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Language	Label	Description	Also known as
English	DLMF:25.6.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\zeta\left(2k+1\right)=\frac{(-1)^{k+1}(2\pi)^{2k+% 1}}{2(2k+1)!}\int_{0}^{1}B_{2k+1}\left(t\right)\cot\left(\pi t\right)\mathrm{d% }t,}}

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DLMF:25.6.E6

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

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}

C24.S2.SS1.m2adec

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Riemann zeta function

Defining formula

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

C25.S2.E1.m2aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Sitelinks

Wikipedia(0 entries)

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