Mathematical legacy of Srinivasa Ramanujan / M. Ram Murty and V. Kumar Murty.
By: Murty, M. Ram.
Contributor(s): Murty, V. Kumar.
Material type: TextPublisher: India : Springer, 2013Description: xi, 184 p. : 24 cm.ISBN: 9788132207696 (hardcover : alk. paper).Subject(s): Srinivasa Ramanujan Aiyangar  Mathematicians  India  Mathematics  HistoryDDC classification: 510.92Item type  Current location  Call number  Status  Date due  Barcode  Item holds  

Books 
ISI Library, Kolkata

510.92 M984 (Browse shelf)  Available  135297 
Includes bibliographical references and index.
Preface. Chapter 1. The Legacy of Srinivasa Ramanujan.
Chapter 2. The Ramanujan tau function.
Chapter 3. Ramanujan's conjecture and ladic representations.
Chapter 4. The Ramanujan conjecture from GL(2) to GL(n).
Chapter 5. The circle method.
Chapter 6. Ramanujan and transcendence.
Chapter 7. Arithmetic of the partition function.
Chapter 8. Some nonlinear identities for divisor functions.
Chapter 9. Mock theta functions and mock modular forms.
Chapter 10. Prime numbers and highly composite numbers.
Chapter 11. Probabilistic number theory.
Chapter 12. The SatoTate conjecture for the Ramanujan taufunction. Bibliography. Index.
Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan's essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21stcentury mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan's significant papers and show how these papers shaped the course of modern mathematics. Gives a panoramic view of the main contributions of Srinivasa Ramanujan; Presents a major theme of Ramanujan's work in nontechnical language; Provides an excellent introduction to Ramanujan's life and work.Publisher description.
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