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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: Sun, 6 May 2001 01:11:35 -0400 (EDT)
• Approved: Steven M. Christensen <steve@smc.vnet.net>, Moderator
• 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) 

• Follow-Ups:
  • Re: Here is a mathematica challenge for fun
    • From: Daniel Lichtblau <danl@wolfram.com>