+0  
 
0
74
3
avatar+3468 

Compute
\(\sum_{m = 1}^\infty \sum_{n = 1}^\infty \frac{m^2 n}{3^m (n3^m + m3^n)}.\)

tertre  Nov 29, 2018
 #1
avatar+3198 
+1

Mathematica couldn't come up with an answer so I'm not going to try either.

 

Where did you get this problem?

Rom  Nov 29, 2018
 #2
avatar+701 
+3

Probably from some online math website.

PartialMathematician  Nov 29, 2018
 #3
avatar+27231 
+2

Numerically, this seems to converge (very quickly) to 9/32.  This is such a simple result I suspect there is a way of finding it analytically. However, I have so far failed to do so!!

Alan  Nov 29, 2018

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