Caesaro summability: all positive integers sum to -1/12

Posted by Adam Getchell on October 04, 2002 at 00:58:21:

Anyone know how to prove the above? That is,

(Sum for n = 0 to infinity) n = -1/12

I can use Cesaro sums to prove that the harmonic series,

(Sum for n = 0 to infinity) (-1)^n = 1/2, but I cannot extrapolate to convince myself of the proof above.

Follow Ups:

• Re: Caesaro summability: all positive integers sum to -1/12 T.Gracken 07:43:26 10/04/02 (1)
  • Re: Caesaro summability: all positive integers sum to -1/12 Adam Getchell 03:47:11 10/13/02 (0)

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