\displaystyle{\sum_{m=1}^{+\infty}\sum_{n=1}^{+\in fty}(-1)^{m+n}\frac{m\ln(m+n)}{(m+n)^3}}

\displaystyle{\sum_{m=1}^{+\infty}\sum_{n=1}^{+\in fty}(-1)^{m+n}\frac{m\ln(m+n)}{(m+n)^3}}
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(-1)^{m+n}\frac{m\ln(m+n)}{(m+n)^3}}
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