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key point! from wikipedia: Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a sum to infinite divergent serie
by the_cat_kittles 13y ago
key point! from wikipedia:
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a sum to infinite divergent series. Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties which make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
...so the way we normally think of sums, of course 1 + 2 + 3 ...grows infinitely large. Makes me wonder- what was the impetus for creating the idea of Ramanujan sums?