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MathGroup Archive 2001

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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: 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) 


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