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The book examines some of these themes in the landscape of 21st-century mathematics. Skip to main content Skip to table of contents.


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The Legacy of Srinivasa Ramanujan. Pages His book Non-vanishing of L-functions and Applications, coauthored by his brother V.


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Kumar Murty, won the Balaguer Prize and was published by Birkhauser. His research areas include number theory, arithmetic geometry, and their applications. He was elected a fellow of the Royal Society of Canada in and a fellow of the National Academy of Sciences in He served as editor-in-chief of the Journal of the Ramanujan Mathematical Society, and as editor of the Transactions of the American Mathematical Society. Moreover, he served on the board of directors of the Canadian Mathematical Society during and as vice-president of the society during Grand Eagle Retail is the ideal place for all your shopping needs!

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NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Please contact Customer Services and request "Return Authorisation" before you send your item back to us. In , anticipating a sabbatical , he wrote to British mathematician Lucy Slater.

The Man who knew Infinity

Slater "intriguingly" stated in her reply that she had inherited a "great collection" of papers from mathematicians such as Watson, Bailey, Jackson and Rogers, which were unsorted, including one of the last by Ramanujan. She also mentioned other papers were held by the Trinity College library. Although unable to travel to Europe in , Andrews became able to do so in , when he was due to attend a European conference in Strasbourg , near the France - Germany border.

He obtained permission and support from Slater, from the Trinity College library, and from his professor, Ben Noble, to visit Cambridge after the conference, in order to investigate the "invaluable" unpublished writings of Watson et al. Noble agreed, adding that if he could attempt to find a lost paper by James Clerk Maxwell at the same time, it would be appreciated.

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The library's documents included a list of matters held from Watson's estate. The list included the item: "A page manuscript by S.

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Ramanujan on q-series" , containing the work from Ramanujan's final year. Although not labelled as such, the identity of the papers was settled because Ramanujan's final letters to Hardy had referred to the discovery of what Ramanujan called mock theta functions, although without great detail, and the manuscript included what appeared to be his full notes on these. Rankin described the lost notebook in detail. The majority of the formulas are about q -series and mock theta functions , about a third are about modular equations and singular moduli, and the remaining formulas are mainly about integrals, Dirichlet series , congruences, and asymptotics.


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  4. The mock theta functions in the notebook have been found to be useful for calculating the entropy of black holes.