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Math Help - 1+2+3+...=-1/12

  1. #1
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    Question 1+2+3+...=-1/12

    Hi, could you explain precisely why
    1+2+3+...=-\frac{1}{12}

    I know it involves applying one of the functional equations of the Riemann Zeta function, but as I'm not too familiar with the zeta function, could you explain in a bit more depth? Our lecturer just rushed through it...

    Thanks a lot
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  2. #2
    MHF Contributor chisigma's Avatar
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    Srinivasa Iyengar Ramanujan was an Indian mathematician 'self taught genius' ... and because I am a 'common mortal' is likely I don't undestand most of his 'mathematical discoveries' ...

    Kind regards

    \chi \sigma
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  3. #3
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    Quote Originally Posted by tunaaa View Post
    Hi, could you explain precisely why
    1+2+3+...=-\frac{1}{12}

    I know it involves applying one of the functional equations of the Riemann Zeta function, but as I'm not too familiar with the zeta function, could you explain in a bit more depth? Our lecturer just rushed through it...

    Thanks a lot

    Read here: Wapedia - Wiki: Ramanujan summation , and please do pay attention in which sense the above sum is true.

    Tonio
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