Srinivasa Ramanujan

Srinivasa Ramanujan (1887–1920) was an Indian mathematician known for his significant contributions to the field of mathematics. Born in Erode, Tamil Nadu, India, Ramanujan’s exceptional mathematical abilities were evident from a young age. Despite facing limited formal education, he made groundbreaking discoveries in various areas of mathematics, including number theory, infinite series, and modular forms.

## Contents

* 1 Early Life and Education
* 2 Contributions to Mathematics
* 3 Collaboration with G.H. Hardy
* 4 Legacy and Impact
* 5 Recognition and Honors
* 6 Final Years and Passing

## Early Life and Education[edit]

Ramanujan was born on December 22, 1887, in Erode, a town in southern India. He displayed an early affinity for mathematics, often solving advanced problems with ease. However, due to financial constraints and the lack of formal education opportunities, Ramanujan’s mathematical development was largely self-guided.

## Contributions to Mathematics[edit]

Number Theory: Ramanujan’s work in number theory significantly impacted the field. His insights into integer partitions, where numbers are expressed as sums of smaller positive integers, led to the formulation of new theories and theorems.

Infinite Series: Ramanujan’s research on infinite series introduced innovative techniques and formulas. These contributions, often lacking conventional proofs, expanded the understanding of mathematical series and their convergence.

Modular Forms: Ramanujan’s investigations into modular forms uncovered intricate relationships and identities. His work in this area has found applications in various mathematical disciplines, including algebraic geometry.

## Collaboration with G.H. Hardy[edit]

Ramanujan’s collaboration with British mathematician G.H. Hardy marked a significant phase in his career. Recognizing Ramanujan’s exceptional talent, Hardy invited him to England, where they worked jointly on mathematical problems. Their collaboration resulted in numerous pioneering results.

## Legacy and Impact[edit]

Ramanujan’s mathematical contributions continue to influence contemporary research. His formulas and theories have stood the test of time, and his legacy persists through ongoing studies and applications of his work.

## Recognition and Honors[edit]

In 1918, Ramanujan was elected as a Fellow of the Royal Society, a rare honor for a mathematician. His induction into this prestigious society underscored the significance of his contributions to mathematics.

## Final Years and Passing[edit]

Ramanujan’s health began to deteriorate during his time in England, prompting his return to India. He passed away on April 26, 1920, at the young age of 32. His untimely death deprived the mathematical community of further potential breakthroughs.