Question

3 main contributions of ramanujan in mathematics ​

Answer 1

He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. (2) He demonstrated unusual mathematical skill at school,winning accolades and awards. (3) By 17,he had conducted his own mathematical research on Bernoulli numbers and the Euler-Mascheroni constant.

Answer 2

Answer:

1.Ramanujan's theta functions. They are some formal series with excellent analytical properties. They have huge applications within and outside mathematics.

2.Ramanujan's congruences. They are three congruences involving the famous partition function. They are known for their beauty. One such congruence is

p(5n+4)=0(mod 5).

3.Ramanujan's master theorem. This is an excellent result related to the Mellin transform and the two sided Laplace transform. This was widely used by him to evaluate infinite series.