How many theories are given by Ramanujan?

In his 17-page paper “Some Properties of Bernoulli’s Numbers” (1911), Ramanujan gave three proofs, two corollaries and three conjectures. His writing initially had many flaws.

What was Ramanujan theory?

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.

What things are unique to Ramanujan?

Taxicab numbers It is the smallest number expressible as a sum of two cubes in two different ways. That is, 1729 = 1^3 + 12^3 = 9^3 + 10^3. This number is now called the Hardy-Ramanujan number, and the smallest numbers that can be expressed as the sum of two cubes in n different ways have been dubbed taxicab numbers.

How many theorems did Ramanujan discovered?

Srinivasa Ramanujan: The mathematical genius who credited his 3900 formulae to visions from Goddess Mahalakshmi.

How did Ramanujan learn mathematics?

Thankfully, Ramanujan didn’t have any formal training. He was a curious child and discovered his love for numbers and equations at an early age. He used to discuss mathematics with college students and whenever he got any new book he used to learn it all by himself.

What did Ramanujan invented in maths?

He worked out the Riemann series, the elliptic integrals, hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series, in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation.

What is Ramanujan best known for?

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 did Ramanujan invented in mathematics?

What did Srinivasa Ramanujan invent?

Indian mathematician Srinivasa Ramanujan made contributions to the theory of numbers, including pioneering discoveries of the properties of the partition function. His papers were published in English and European journals, and in 1918 he was elected to the Royal Society of London.

What is Ramanujan known for?

How did Ramanujan contribute to the field of mathematics?

Ramanujan proposed many formulas and theorems during his lifetime. These results, which include solutions of problems that were previously considered to be unsolvable, would be investigated in more detail by other mathematicians, as Ramanujan relied more on his intuition rather than writing out mathematical proofs.

What are some interesting facts about Srinivasa Ramanujan?

6 Interesting Facts about Srinivasa Ramanujan. 1 The book that started it all. 2 Early failures. 3 Go west, young man. 4 Get pi fast. 5 Taxicab numbers. 6 100/100.

Who contributed to the development of mathematics in India?

Patrick Corn, Infinity Mathematics, and Jimin Khim contributed. Srinivasa Ramanujan (1887-1920) was an Indian mathematician who made great and original contributions to many mathematical fields, including complex analysis, number theory, infinite series, and continued fractions.

What is the Hardy Ramanujan asymptotic formula?

The Hardy-Ramanujan asymptotic formula, which provided a formula for calculating the partition of numbers—numbers that can be written as the sum of other numbers. For example, 5 can be written as 1 + 4, 2 + 3, or other combinations.