## Wikipedia article, a good place to start.

"Ramanujan independently compiled nearly 3900 results (mostly identities and equations) during his short lifetime. Although a small number of these results were actually false and some were already known, most of his claims have now been proven correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, some of his major discoveries have been rather slow to enter the mathematical mainstream. Recently, Ramanujan's formulae have found applications in crystallography and string theory. The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work."## Review of the book

"Ramanujan’s story is one of the great romantic tales of mathematics. It is an account of triumph and tragedy, of a man of genius who prevailed against incredible adversity and whose life was cut short at the height of his powers. The extent of those powers is only now being fully recognized. Ramanujan had the misfortune to work on problems that, in his time, were considered a mathematical backwater. Modular equations, theta function identities, even continued fractions were viewed as having been played out in the nineteenth century. One might pick up tidbits, but there was nothing important left to be discovered.*Ramanujan’s lost notebook, Part I*by George E. Andrews and Bruce C. Berndt, published in 2005.

"G.H. Hardy knew the error of this view. In his twelve lectures given at Harvard in 1936, he communicated the range and depth of Ramanujan’s work."## Srinivasa Ramanujan Complete collection of his publsihed papers and unpublished notebooks.

## Ramanujan's Notebooks Photographic copy of Ramanujan's first two notebooks.

## Relevance of Srinivasa Ramanujan at the dawn of the new millennium by . Srinivasa Rao, chapter from a confercne proceeding,

*Number Theory and Discrete Mathematics*(Google books) The chapter begins on page 261. The story about 1729 appears on page 264.## Srinivasa Ramanujan by James R. Newman, chapter in the 4-volume anthology

"I have had no university education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at mathematics. I have not trodden through the conventional regular course which is followed in a university course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as 'startling'."*The World of Mathematics*(Google books) Includes Ramnanujan's 1913 letter to Hardy and some of the formuals in contained.## St. Andrews biography of Ramanujan

"Ramanujan sailed from India on 17 March 1914. It was a calm voyage except for three days on which Ramanujan was seasick. He arrived in London on 14 April 1914 and was met by Neville. After four days in London they went to Cambridge and Ramanujan spent a couple of weeks in Neville's home before moving into rooms in Trinity College on 30th April. Right from the beginning, however, he had problems with his diet. The outbreak of World War I made obtaining special items of food harder and it was not long before Ramanujan had health problems.

"Right from the start Ramanujan's collaboration with Hardy led to important results."## Srinivasa Ramanujan, biography by Mike Hoffman, a friend of mine at the U. S. Naval Academy.

"It is one of the most romantic stories in the history of mathematics: in 1913, the English mathematician G. H. Hardy received a strange letter from an unknown clerk in Madras, India. The ten-page letter contained about 120 statements of theorems on infinite series, improper integrals, continued fractions, and number theory (Here is a .dvi file with a sample of these results). Every prominent mathematician gets letters from cranks, and at first glance Hardy no doubt put this letter in that class. But something about the formulas made him take a second look, and show it to his collaborator J. E. Littlewood. After a few hours, they concluded that the results 'must be true because, if they were not true, no one would have had the imagination to invent them'. "## THE RAMANUJAN JOURNAL The Ramanujan Journal will publish original research papers of the highest quality in all areas of mathematics influenced by Srinivasa Ramanujan. His remarkable discoveries have made a great impact on several branches of mathematics, revealing deep and fundamental connections.

## Ramanujan: Essay and Surveys edted by Bruce Berndt and Robert Rankin, 2001 (Google books)

## The Ramanujan Pages A collection of very accessible papers about Ramanujan's work by Titus Piezas III (who is this guy?)

## Sarah Zubairy, '04, a UR Math graduate who wrote three papers on Ramanujan's work while she was an undergraduate here.

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