Thursday, 15 March 2018

sequences and series - Value of Riemann zeta function at 1

This claim is false n=1n=n=1n(1)=ζ(1)=1/12.



The error is that we should



n=1n=n=1(1/n1)1=(0)1.



Am I correct? It's difficult to say that an infinite sum like that don't diverge and that sum of positive numbers can give negative number.

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