DLMF:5.7.E2 (Q2078)

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DLMF:5.7.E2
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    Statements

    Defining formula
    ( k - 1 ) ⁢ c k = γ ⁢ c k - 1 - ζ ⁡ ( 2 ) ⁢ c k - 2 + ζ ⁡ ( 3 ) ⁢ c k - 3 - … + ( - 1 ) k ⁢ ζ ⁡ ( k - 1 ) ⁢ c 1 , 𝑘 1 subscript 𝑐 𝑘 subscript 𝑐 𝑘 1 Riemann-zeta 2 subscript 𝑐 𝑘 2 Riemann-zeta 3 subscript 𝑐 𝑘 3 … superscript 1 𝑘 Riemann-zeta 𝑘 1 subscript 𝑐 1 {\displaystyle{\displaystyle(k-1)c_{k}=\gamma c_{k-1}-\zeta\left(2\right)c_{k-% 2}+\zeta\left(3\right)c_{k-3}-\dots+(-1)^{k}\zeta\left(k-1\right)c_{1},}}
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    DLMF id
    DLMF:5.7.E2
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    constraint
    k ≥ 3 𝑘 3 {\displaystyle{\displaystyle k\geq 3}}
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