Here is a mathematica challenge for fun

*To*: mathgroup at smc.vnet.net*Subject*: [mg28670] Here is a mathematica challenge for fun*From*: Singularity Chaser <sotirisgk1 at aol.com>*Date*: Tue, 8 May 2001 02:51:09 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Use Mathematica (or other methods) to find the asymptotic expansion of the following Sum in the 0+ limit Ksi(x)=Sum[1/n^(n*x),{n,1,Infinity}] PS: Dont ask Ramanujan for help. PS: Why not start a riemann zeta function equivalent study project for this function above (such as locating or conjecturing about its zeros in the complex plane)