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How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?

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• Subject: [mg132220] How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Sun, 19 Jan 2014 02:56:41 -0500 (EST)
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• Delivered-to: l-mathgroup@wolfram.com
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Hola,

I came across this video (supported by the Mathematical Sciences Research Institute* in Berkeley, California):

http://www.numberphile.com/videos/analytical_continuation1.html

Could the method shown in this video be replicated using Mathematica symbols such as Sum[] &c.?

Best regards,

MATTHIAS BODES 17.36398=B0, W 66.21816=B0,2'590 m. AMSL.

*) http://www.msri.org/web/msri

• Follow-Ups:
  • Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?
    • From: Murray Eisenberg <murray@math.umass.edu>