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According to the Wikipedia article [1], it equals -1/12 (R), except the R is written a rather fancy script. Now, I'm no mathematician, but I'm betting that (R)
by Zikes 13y ago
According to the Wikipedia article [1], it equals -1/12 (R), except the R is written a rather fancy script.
Now, I'm no mathematician, but I'm betting that (R) is important, and affects the true value of the -1/12, and probably should not be omitted.
[1] http://en.wikipedia.org/wiki/Ramanujan_summation http://en.wikipedia.org/wiki/Ramanujan_summation
- valtron 13y agoThere's only one way to add a finite list of numbers, but several ways to "add" infinite lists. Ramanujan summation is just one way. There are also other ways to define "addition" on infinite lists: Abel, Borel, Cesaro, Euler, etc. summation. They're different from each other because they disagree on certain infinite sums, but they're still considered "summations" because, for finite lists, they give the same answer as normal addition.
- Zikes 13y agoSo the title should instead read "The sum of all positive numbers up to infinity (for a certain definition of 'sum') is -1/12".