Which formula is given by Ramanujan?

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.

How many formulas are given by Ramanujan?

Chan, and S. –S. Huang [25] found proofs for all of Ramanujan’s approximately 15 formulas employing only results from Ramanu- jan’s notebooks [61] and lost notebook [62]. See also Chapter 15 of our book [10].

Did Ramanujan solve Riemann hypothesis?

He dreamed of doing something like solving the Riemann hypothesis—but in reality never did anything truly spectacular. He wrote two books, though, that continue to be read today: An Introduction to the Theory of Numbers, with E. M. Wright; and Inequalities, with Littlewood and G. Pólya.

What are the mathematical contributions of Ramanujan?

Ramanujan compiled around 3,900 results consisting of equations and identities. One of his most treasured findings was his infinite series for pi. This series forms the basis of many algorithms we use today. He gave several fascinating formulas to calculate the digits of pi in many unconventional ways.

What did Einstein say about Ramanujan?

In the words of Albert Einstein, “Pure mathematics is, in its way, the poetry of logical ideas.” The credit for all the development in 20th century mathematics is given to the final writings, theories and developments of mathematics’ genius, Srinivasa Ramanujan Iyengar, who was born on December 22, 1887.

Why was Ramanujan famous?

An intuitive mathematical genius, Ramanujan’s discoveries have influenced several areas of mathematics, but he is probably most famous for his contributions to number theory and infinite series, among them fascinating formulas ( pdf ) that can be used to calculate digits of pi in unusual ways.

What is the contribution of Ramanujan in mathematics?

Srinivasa Ramanujan was a largely self-taught pure mathematician. Hindered by poverty and ill-health, his highly original work has considerably enriched number theory. More recently his discoveries have been applied to physics, where his theta function lies at the heart of string theory.

What is the Ramanujan-Nagell equation?

In mathematics, in the field of number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than a power of two. It is an example of an exponential Diophantine equation, an equation to be solved in integers where one of the variables appears as an exponent.

What is the Ramanujan summation of Infinity?

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. Yup, -0.08333333333.

What are some of Ramanujan’s quotes?

A peer-reviewed scientific journal ‘The Ramanujan Journal’ was established to publish all mathematical work. He died at 32. Below are some of his quotes on mathematics, science, brain, numbers, and God. To preserve my brains I want food and this is now my first consideration.