## Is the Ramanujan summation correct

**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.

## What happens if you add up all natural numbers

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that **it is equal to -1/12**.

## Where is Ramanujan summation used

It has been used for **calculation of electric force between two uncharged plates in vaccum(Casimir Effect).** **Also used in string theory**.

## 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.

## Who invented infinity

infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician **John Wallis** in 1655.

## Who is the father of mathematics

**Archimedes** is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace. Archimedes was serving the King Hiero II of Syracuse by solving mathematical problems and by developing interesting innovations for the king and his army.

## Who invented sum of n natural numbers

Therefore, the famous mathematician associated with finding the sum of the first 100 natural numbers is **Gauss**.

## What is it called when you add 1 2 3 4 5

The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc. The nth partial sum is given by a simple formula: This equation was known to the Pythagoreans as early as the sixth century BCE. Numbers of this form are called **triangular numbers**, because they can be arranged as an equilateral triangle.

## Why is 1729 a magic number

It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number **because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers**. Ramanujanâ€™s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.14 Sept 2003

## What is used in most in Ramanujans theorems

where **Γ(s) denotes the gamma function**. It was widely used by Ramanujan to calculate definite integrals and infinite series. Multi-dimensional versions of this theorem also appear in quantum physics (through Feynman diagrams).

## How can the sum of all positive numbers be negative

= **-1**. That is, the sum of positive numbers to infinity is negative.

## What is the formula of Ramanujan

(1961). "The Diophantine equation **x ^{2} + 7 = 2^{n}**".

## How did Ramanujan died

In 1919, ill health—now believed to have been **hepatic amoebiasis** (a complication from episodes of dysentery many years previously)—compelled Ramanujan's return to India, where he died in 1920 at the age of 32.

## Why is Ramanujan summation

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

## Who discovered sum of natural numbers

We know that the famous mathematician associated with finding the sum of the first 100 natural numbers is **Gauss**. Gauss was a young boy, he was given the problem to add the integers from 1 to 100.

## Do numbers ever end

The sequence of natural numbers **never ends**, and is infinite.

## What is the sum of all real numbers

The sum of a real number and 0 is that **real number**. The product of a real number and 1 is that real number. The sum of any real number and its opposite is 0. The product of any nonzero real number and its reciprocal is 1.

## What is the sum of first 10 natural numbers

Therefore, the sum of the first 10 natural numbers is **55**.