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bug report: MoebiusMu sum

• To: mathgroup at smc.vnet.net
• Subject: [mg93401] bug report: MoebiusMu sum
• From: Jan Irigi Olsina <jan.olsina at gmail.com>
• Date: Thu, 6 Nov 2008 04:06:07 -0500 (EST)

I just wanted to report a bug:

Sum[MoebiusMu[k]/k Zeta[0],{k,1,inf}]

returns 0 in Mathematica 6.0.0.

On the other hand

NSum[MoebiusMu[k]/k Zeta[0],{k,1,inf}]

gives particular numerical result different from 0. Is this a bug in
Sum?

Thank you!

Jan Olsina

• Follow-Ups:
  • Re: bug report: MoebiusMu sum
    • From: Andrzej Kozlowski <akoz@mimuw.edu.pl>