MathGroup Archive 2012

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complex triple sum

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  • Subject: [mg125926] complex triple sum
  • From: Greg <piggyzwillfly at>
  • Date: Sat, 7 Apr 2012 05:58:02 -0400 (EDT)
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I'm having trouble solving this summation and was wondering if anyone could put me on the right track. Here's the problem below.

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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