>>11589896Ramanujan summation is not actually summation. It's more so just identifying a certain divergent series with a value.
>Ramanujan's result is still valid as a solution, rightNo. The series diverges. If you are going to say that the value is -1/12, then you need to really be specific with what you're talking about, and make sure that it actually makes sense.
3blue1brown made a fantastic video regarding this issue here
https://www.youtube.com/watch?v=XFDM1ip5HdUwhich provides a similar result - i.e. 1+2+4+8+...=-1 - that is not true as a summation over the real numbers, but is true for the p-adic numbers, where distance is given a different definition.
There are various other great yt videos explaining why the sum diverges, and is not /equal/ to -1/12.
