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# What are the inventions of Ramanujan?

## What are the inventions of Ramanujan?

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.

Who invented zero Ramanujan?

The first modern equivalent of numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. His symbol to depict the numeral was a dot underneath a number.

What are the contributions of Ramanujan?

Ramanujan’s other notable contributions include hypergeometric series, the Riemann series, the elliptic integrals, the theory of divergent series, and the functional equations of the zeta function.

### What are the mathematical contributions of Ramanujan?

Ramanujan’s contributions stretch across mathematics fields, including complex analysis, number theory, infinite series, and continued fractions. Ramanujan’s other notable contributions include hypergeometric series, the Riemann series, the elliptic integrals, the theory of divergent series, and the functional equations of the zeta function.

What are the achievements of Ramanujan?

Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. What made his achievements really extraordinary was the fact that he received almost no formal training in pure mathematics and started working on his own mathematical research in isolation.

What is the main invention of Ramanujan?

Ramanujan, along with G. H. Hardy, invented the circle method which gave the first approximations of the partition of numbers beyond 200. This method was largely responsible for major advances in the 20th century of notoriously difficult problems such as Waring’s conjecture and other additive questions.

#### What did Srinivasa Ramanujan discover?

Srinivasa Ramanujan, (born December 22, 1887, Erode , India—died April 26, 1920, Kumbakonam ), Indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function.