I'm having trouble solving this summation and was wondering if anyone could put me on the right track. Here's the problem below, i've also attached a pdf of it.(adsbygoogle = window.adsbygoogle || []).push({});

Sum from 1 to infinity in steps of 2 for l, m, and n:((-1)^((m - 1)/2))*(m/(n^2 + l^2 + m^2))

I've tried using the built in sum functions

Sum[((-1)^((m - 1)/2))*(m/(n^2 + l^2 + m^2)),{l,1,Infinity,2},{m,1,Infinity,2},{n,1,Infinity,2}]

but mathematica continuously sums this and never reaches an approximation. Is there any function I'm missing or a way to simplify this?

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# MATHEMATICA, need help with a triple sum

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