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ζ⁡(s)=∑k=1N1ks+N1−ss−1−12⁢N−s+∑k=1n(s+2⁢k−22⁢k−1)⁢B2⁢k2⁢k⁢N1−s−2⁢k−(s+2⁢n2⁢n+1)⁢∫N∞B~2⁢n+1⁡(x)xs+2⁢n+1⁢dx,