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A comment on Does 1+2+3+... Really Equal -1/12?. Parent comment
Your triple shifted version would be between -1 or 2 depending on the cut right? So, still 1/2.
What about the multiplied version? That is how I would intuitively understand 2S_2, and I still don't accept that shifting is the same.
Your triple shifted version would be between -1 or 2 depending on the cut right? So, still 1/2.