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/sci/ - Science & Math


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8425096 No.8425096 [Reply] [Original]

Why does the Riemann zeta function equal to -1/12 at -1? I don't understand.

>> No.8425101
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8425101

post yfw roothoot wasn't in the leaks

>> No.8425150

>>8425096
Do you understand the derivation of the functional equation? That's how all of the obvious extended values are computed.

>> No.8425189

>>8425150
I thought the analytic continuation was derivated from the integral form? That's why I find a negative value weird, there can't be a negative area

>> No.8425237

>>8425189
>there can't be a negative area
But there can be negative area. Integrate sin(x) from 0 to 2pi, the result is 0 because the area below the x axis is considered negative.

>> No.8425454

>>8425237
Tfw I gotta study calculus I again

>> No.8425508

>>8425454
how the fuck do you not know this? integrals calculate NET area. that's literally first year calc info.

>> No.8426124
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8426124

>>8425096
Check the y intercept at x=0, yo.