Is Ramanujan summation used in string theory?

Well for starters, it is used in string theory. Not the Stephen Hawking version unfortunately, but actually in the original version of string theory (called Bosonic String Theory).

Why Ramanujan is called The Man Who Knew infinity?

Who knew an unlucky number for Hardy would be the rub of green Ramanujan needed. The man who knew infinity was called so because his love for mathematics had no boundaries. He gave the whole mathematics fraternity a new dimension and left behind useful conclusions which are being used as a base for new findings.

Is Ramanujan summation true Quora?

“Ramanujan summation” is a way of assigning values to divergent series. As such, it isn’t true or false, just defined (or not, as the case may be). This particular case really does “work”. However, the left-hand side should say that it’s a Ramanujan summation, not a regular “sum of a series”, and it doesn’t.

How do you calculate Ramanujan summation?

Ramanujan resummation can be extended to integrals; for example, using the Euler–Maclaurin summation formula, one can write ∫ a ∞ x m − s d x = m − s 2 ∫ a ∞ x m − 1 − s d x + ζ ( s − m ) − ∑ i = 1 a [ i m − s + a m − s ] − ∑ r = 1 ∞ B 2 r θ ( m − s + 1 ) ( 2 r ) !

Is the Ramanujan summation of a divergent series a sum?

Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined. Since there are no properties of an entire sum, the Ramanujan summation functions as a property of partial sums.

What is the greatest thing about Ramanujan’s life?

Ramanujan was a child prodigy, and a mathematical genius. The greatest thing about him probably is how he turned out to be this amazing mathematician despite having little or no formal outside exposure to advanced mathematics.