complex triple sum

*To*: mathgroup at smc.vnet.net*Subject*: [mg125926] complex triple sum*From*: Greg <piggyzwillfly at yahoo.com>*Date*: Sat, 7 Apr 2012 05:58:02 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

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?