What Did Ramanujan Discover?

Ramanujan discovered an analytical expression for the Mellin transform of a function. This technique is called Ramanujan's master theorem and was widely used to calculate definite integrals and infinite series. He also found his own method to solving the quartic.

Ramanujan continued to develop his mathematical ideas and began to create and solve problems in the Journal of the Indian Mathematical Society. He developed the relations between elliptic modular equations in 1910 and published a research paper in 1911 on Bernoulli numbers. After this was published in the Journal of the Indian Mathematical Society, he gained recognition for his work and started to become well known in the Madras area as a mathematical genius despite his lack of a university education.