Groups > comp.soft-sys.math.mathematica > #16446

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

From	Richard Fateman <fateman@cs.berkeley.edu>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols?
Date	2014-01-20 08:54 +0000
Message-ID	<lbio7r$g6q$1@smc.vnet.net> (permalink)
References	<lbg084$am4$1@smc.vnet.net>
Organization	Time-Warner Telecom

Show all headers | View raw

On 1/18/2014 11:52 PM, Matthias Bode wrote:
> 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
>

Sure. Piece of cake.
Sum[a^n,{n,0,Infinity}]   results in  1/(1-a).

%/. a->-1  tells you that this Sum is 1/2

Starting from this lie  (the sum is actually divergent), you should
be able to prove lots and lots of things.

Back to comp.soft-sys.math.mathematica | Previous | Next — Previous in thread | Next in thread | Find similar

Thread

How to show 1+2+3+ ... = -1/12 using Mathematica's symbols? Matthias Bode <lvsaba@hotmail.com> - 2014-01-19 07:52 +0000
  Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols? Richard Fateman <fateman@cs.berkeley.edu> - 2014-01-20 08:54 +0000
  Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols? psycho_dad <s.nesseris@gmail.com> - 2014-01-20 08:54 +0000
  Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols? Richard Fateman <fateman@cs.berkeley.edu> - 2014-01-20 08:55 +0000
  Re: How to show 1+2+3+ ... = -1/12 using Itai Seggev <itais@wolfram.com> - 2014-01-21 08:42 +0000
  Re: How to show 1+2+3+ ... = -1/12 using Mathematica's symbols? "Dr. Wolfgang Hintze" <weh@snafu.de> - 2014-01-31 03:33 +0000

csiph-web