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[tex]\sum\ (m^2+n^2) = 2\pi\int^{\infty}_{1} (\frac{1}{r^2} r dr) [/tex]
The sum goes over [tex]\mathbb{N}\times \mathbb{N}[/tex]
The sum goes over [tex]\mathbb{N}\times \mathbb{N}[/tex]
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Right, that's what I meant. I'm still fighting with latex.The sum (m^2+n^2) clearly diverges. You must mean 1/(m^2+n^2). Then it's just an integral estimate. And it still diverges.
Hi Icosahedron![tex]\sum\ (m^2+n^2)^{-1} \sim 2 \pi\int^{\infty}_{1} (\frac{1}{r^2} r dr) [/tex]
The sum goes over [tex]\mathbb{N}\times \mathbb{N}[/tex]
I can make no sense of it.