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How to compute following double series,

$$\sum_{j=1}^{\infty}\sum_{i=1}^{\infty} \cfrac{(-1)^{(i+j)}}{i^2+2nij+j^2} $$

where $n\in \mathbb{N}$.

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    It looks almost like an Epstein zeta function...2012-07-11

2 Answers 2