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/sci/ - Science & Math


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8667481 No.8667481 [Reply] [Original]

``What is the sum of all the positive integers?''

She says ``Infinite''

You say ``No!''

ζ(s)=∑∞n=01nsζ(s)=∑n=0∞1ns

and

ζ(−1)=∑∞n=0n=−112

>> No.8667611
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8667611

>>8667481
I agree to give n dollars today plus n+1 tomorrow forever. You now owe me 112 dollars.

>> No.8667620

ζ =/= ∑

>> No.8667873

>>8667481
Unknown and unquantifiable.

>> No.8667933

What is the deeper truth behind zeta regularization bros? Why does it give the right answers?