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MMA3.0.0 bug in symbolic summation

• To: mathgroup at smc.vnet.net
• Subject: [mg8969] MMA3.0.0 bug in symbolic summation
• From: luca ciotti <ciotti at boas5.bo.astro.it>
• Date: Mon, 6 Oct 1997 01:59:38 -0400
• Organization: Osservatorio Astronomico di Bologna
• Sender: owner-wri-mathgroup at wolfram.com

Dear Users, 

I found a problem in symbolic summation using MMA 3.0.0.

 A = Sum[ Exp[-k]/(1+k^3), {k,0,Infinity}]

The analitycal result, when evaluated numerically  is

                          N[A,50] = 0.5344386.....


This is obviously wrong, in fact each term of the series is 
positive, and the first (k=0) is equal 1.

Performing directly NSum, return 1.20111.....


Is this bug still present in MMA3.0.1? 

luca ciotti
osservatorio astronomico di bologna
via zamboni 33, 40126 Bologna (italy)