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Heh, i know just teasing you. And, yes it is strange. It had me tripping up when i was learning complex analysis as well.
It’s not the aesthetics, it’s the fact of indefinitely large positive whole numbers summing up to a negative fraction.
I kind of get what it means in terms of zeta functions. There’s an important reason it could be said to be true, under a limited set of contextual circumstances. But… gaah. There’s a much more important reason it can be said to be not true in most cases.
…I am not accustomed to mathematical statements acting like that.
you are right, it looks much nicer using Capital Sigma
The summation makes my eyelid twitch every time I see it.