Sunday, May 29, 2016

How is zeta(0)=1/2?







Fermat's Dream by Kato et al. gives the following:





  1. ζ(s)=n=11ns (the standard Zeta function) provided the sum converges.


  2. ζ(0)=1/2




Thus, 1+1+1+...=1/2 ? How can this possibly be true? I guess I'm under the impression that 1 diverges.

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