DLMF:25.12.E8 (Q7727)

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DLMF:25.12.E8
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    n = 1 cos ( n θ ) n 2 = π 2 6 - π θ 2 + θ 2 4 . superscript subscript 𝑛 1 𝑛 𝜃 superscript 𝑛 2 superscript 𝜋 2 6 𝜋 𝜃 2 superscript 𝜃 2 4 {\displaystyle{\displaystyle\sum_{n=1}^{\infty}\frac{\cos\left(n\theta\right)}% {n^{2}}=\frac{\pi^{2}}{6}-\frac{\pi\theta}{2}+\frac{\theta^{2}}{4}.}}
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