Titlebook: Ramanujan‘s Place in the World of Mathematics; Essays Providing a C Krishnaswami Alladi Book 20131st edition Springer India 2013 Great Math

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s mathematics and compares his work with other great mathemaThis book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians throughout the history whose life and works have things in common with Ramanuj

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Ramanujan: The Second Centuryllowing his centenary in areas such as mock theta functions, congruences for partition functions and coefficients of modular forms, .-hypergeometric identities, special functions, mathematical physics, and computer algebra.

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Fermat and Ramanujan: A Comparisons. The famous Ramanujan taxi-cab equation is discussed as a Diophantine equation in four variables having solutions, but this equation becomes the cubic version of Fermat’s Last Theorem when one of the variables is set equal to zero, in which case there are no non-trivial solutions.

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Evariste Galois: Founder of Group Theory mathematicians like Galois who died very young, yet had done their best work in their teens. This article describes the remarkable but tragic life of Galois, his monumental creation of group theory, and the relation of the work of Galois to Ramanujan’s results on roots of numbers.

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J.E. Littlewood: Ramanujan’s Contemporary and Hardy’s Collaborator Method that Hardy and Littlewood developed into a powerful tool in additive number theory, the method having its basic formulation in the Hardy–Ramanujan paper on the asymptotics of the partition function.

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Robert Rankin: Scottish Link with Ramanujanescribing Rankin’s life, the remarkable story of the discovery of the Lost Notebook is recalled. The article also includes a discussion of Rankin’s work in number theory relating to prime numbers, modular forms and the Ramanujan tau function.