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.

Mathematical and Scientific Contributions of S. Ramanujan
According to an eminent mathematicians, all the numbers were actually the intimate friends of S. Ramanujan. In order to calculate the value of `pi` up to 17 million places using a computer, the present day mathematicians actually use S. Ramanujan`s method. The mathematical contributions of S. Ramanujan have also been widely used in solving various problems in higher scientific fields of specialisation. The diverse specialised higher scientific fields include the likes of particle physics, statistical mechanics, computer science, space science, cryptology, polymer chemistry and medical science. Apart from the above fields, S. Ramanujan`s mathematical methods are being used in designing better furnaces for smelting metals and splicing telephone cables for communications, as well.

S. Ramanujan actually belonged to the Formalist School of Mathematics. It is true that Ramanujan had not given much attention to the deeper meaning of Mathematics but he had given the subject a concrete form with the help of formulas, theorems, identities etc. He also searched for forms or patterns in mathematics and he actually worked more by intuition and induction and showed relationships between numbers, something that nobody could even imagine at that time. S. Ramanujan had found results that were both original and very different in nature. Some of his famous discoveries were the Ramanujan prime and the Ramanujan theta function.

Notebook of S. Ramanujan
S. Ramanujan wrote down all his mathematical findings, in ledger-like notebooks that lately became famous as Ramanujan`s Frayed Notebooks. The Cambridge University Press brought out his Collected Papers in 1927 and after this, the mathematicians all over the world became fascinated by his work and personality. In 1929, two British mathematicians, G. N. Watson of the University of Birmingham and B. M. Wilson of Liverpool University, started to study and edit the notebooks with an intention to unearth the mathematical gems lying undiscovered in them. The Notebooks contained numerous formulas most of which were related to mock theta functions and q-series and around a third are about modular equations and singular moduli and other formulas of congruences, integrals, asymptotics and Dirichlet series.

Eventually, the Tata Institute of Fundamental Research, Mumbai published the facsimile editions of the two volumes of Ramanujan`s notebooks in 1957. The books were published at the initiative of the Indian nuclear physicist Dr. Homi Jehangir Bhabha and the publication once again, renewed the mathematicians` interest in Ramanujan`s notebooks.

S. Ramanujan conjecture has remained a bench mark in Mathematics. The most outstanding contribution of Ramanujan was his formula for p (n), the number of partitions of "n". For all these reasons, he is hailed as an all time great mathematician like Euler, Gauss or Jacobi for his natural intellect.