What were Ramanujan's contribution to mathematics?

Answer 1

Contribution of S. Ramanujan is widespread in fields of Algebra, Geometry, Trigonometry, Calculus, Number theory etc. He has also made some extraordinary contributions to the fields like Hyper-geometric series, Elliptic functions, Prime numbers, Bernoulli`s numbers, Divergent series, Continued fractions, Elliptic Modular equations, Highly Composite numbers, Riemann Zeta functions, Partition of numbers, Mock-Theta functions etc. In reality, apart from a few elementary ones, most of the contributions of S. Ramanujan belong to a higher realm of mathematics that is often referred to as Higher Mathematics. But the most significant contributions are Ramanujan Prime, Ramanujan Theta function, Ramanujan-Soldner constant, Ramanujan`s sum etc.

Answer 2

He made some amazing discoveries in the field of continued fractions.

He also did other work in the field of number theory.

Ramanujan had some important contributions to the theory of infinite series and

analysis also.

Answer 3

Srinivasa Rmanujan is an Indian mathematician and autodidact who, with no formal training in pure mathematics, made exceptional contributions to mathematical analysis, number theory, infinite series and continued fractions. He lived in India with no access to the larger mathematical community which was centred in Europe at his time.