Srinivasa Ramanujan - Mathematician Known for Groundbreaking Contributions to Number Theory, Continued Fractions, and Infinite Series

Authors: Sumanpreet Kaur

Country: India

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Abstract: Srinivasa Ramanujan, an Indian mathematician renowned for his groundbreaking contributions to number theory, continued fractions, and infinite series, remains one of the most influential figures in the history of mathematics. Born in 1887 in colonial India, Ramanujan was largely self-taught, developing his own mathematical theories despite limited formal education. His early work on the partition function, highly composite numbers, and the properties of modular forms paved the way for significant advancements in number theory. Ramanujan’s collaboration with the British mathematician G.H. Hardy was particularly fruitful, resulting in the development of several mathematical concepts, including the famous Hardy-Ramanujan number. His work on infinite series, particularly his rapidly converging series for the value of pi, has had a profound impact on mathematical analysis and computational algorithms. Despite his brief life—he passed away at the age of 32—Ramanujan’s discoveries continue to inspire contemporary mathematical research, especially in areas like cryptography, statistical mechanics, and computer science. This paper explores Ramanujan’s life, his key mathematical contributions, and his lasting influence on modern mathematics, demonstrating the enduring legacy of his work and its relevance in the fields of number theory and mathematical computation.

Keywords: Srinivasa Ramanujan, Number Theory, Continued Fractions, Infinite Series, Modular Forms

Paper Id: 231696

Published On: 2024-11-28

Published In: Volume 12, Issue 6, November-December 2024

Cite This: Srinivasa Ramanujan - Mathematician Known for Groundbreaking Contributions to Number Theory, Continued Fractions, and Infinite Series - Sumanpreet Kaur - IJIRMPS Volume 12, Issue 6, November-December 2024.

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