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Ramanujan influenced many areas of mathematics, but his work on q-series, on the growth of coefficients of modular forms and on mock modular forms stands out for its depth and breadth of applications. I will give a brief overview of how this part of Ramanujan's work has influenced physics with an emphasis on applications to string theory, counting of black hole states and moonshine.
Jan 16, 2024 · Srinivasa Ramanujan was an Indian mathematician who lived from 1887 to 1920. Despite having little formal training in mathematics, he made significant contributions to the field. Ramanujan developed his own mathematical ideas in isolation. However, in 1913, he began corresponding with the English mathematician G. H. Hardy.
Dec 26, 2018 · Ramanujan was born on December 22, 1887, in Erode, a city in southern India. His father, K. Srinivasa Aiyangar, was an accountant, and his mother Komalatammal was the daughter of a city official. Though Ramanujan’s family was of the Brahmin caste, the highest social class in India, they lived in poverty. Ramanujan began attending school at ...
Ramanujan's published papers on p(n) and r(n), the later chapters in his second notebook, his lost notebook, and his handwritten man uscript on p(n) and r(n) published with his lost notebook. We em phasize that Ramanujan left behind few of his proofs, especially for his claims in his notebooks and lost notebook. Thus, for many of the
The Ramanujan Journal publishes high-quality papers in all areas of mathematics influenced by Srinivasa Ramanujan. Covers a broad range of topics including hyper-geometric series, number theory, and Fourier analysis. Features comprehensive coverage of areas where Ramanujan made significant contributions. Deepens the understanding of fundamental ...
The bust of Ramanujan made by Mr. Masilamani is housed in the Ramanujan Institute. In 1992, the Ramanujan Museum was started in the Avvai Kalai Kazhagam in Royapuram. Mrs. Janakiammal Ramanujan, the widow of Ramanujan, lived for several decades in Triplicane, close to the University's Marina Campus and died on April 13, 1994.
Ramanujan Congruences. Ramanujan obtained three congruences when m is a whole number, p (5m+ 4) ≡ 0 (mod 5), p (7m+ 5) ≡ 0 (mod 7), p (11m+ 6) ≡ 0 (mod 11). Hardy and E.M. Wright wrote, he was first to led the conjecture and then to prove, three striking arithmetic properties associated with the moduli 5, 7 and 11.”.
