nice-calculus-prove-that-m-n-1-1-n-m-n-2-m-2-pi-2-12-pi-4-ln-2-

Question Number 124202 by mnjuly1970 last updated on 01/Dec/20

::: n i c e c a l c u l u s :::

p r o v e t h a t :::

\underset{m, n = 1}{\sum^{\infty}} {\frac{{(- 1)}^{n + m}}{n^{2} + m^{2}}} \overset{? ? ?}{=} \frac{π^{2}}{12} - \frac{π}{4} l n (2)