DLMF:25.4.E2 (Q7609)

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DLMF:25.4.E2
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    ζ ⁡ ( s ) = 2 ⁢ ( 2 ⁢ π ) s - 1 ⁢ sin ⁡ ( 1 2 ⁢ π ⁢ s ) ⁢ Γ ⁡ ( 1 - s ) ⁢ ζ ⁡ ( 1 - s ) . Riemann-zeta 𝑠 2 superscript 2 𝜋 𝑠 1 1 2 𝜋 𝑠 Euler-Gamma 1 𝑠 Riemann-zeta 1 𝑠 {\displaystyle{\displaystyle\zeta\left(s\right)=2(2\pi)^{s-1}\sin\left(\tfrac{% 1}{2}\pi s\right)\Gamma\left(1-s\right)\zeta\left(1-s\right).}}
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    DLMF:25.4.E2
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