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pcm81
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Over the last couple of years there has been allot of traffic on youtube about the sum of all positive integers being equal to -1/12 as is explained in numberphile video. Some argue that their calculations are wrong and the sum really is infinity. In their original video numberphile shows a string theory book that is referencing this result. My question is: what would be different in string theory if sum of all positive integers and with it the value of Riemann zeta function at s=-1 is not -1/12 but is infinity? Loooooooooong time ago i got am M.Sc. in physics; but they did not teach string theory back then; so feel free to use physics technical lingo in your answer; i simply do not know enough about string theory itself...