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Field name	Details
Dewey Class	512.7
Title	The Mathematical Legacy of Srinivasa Ramanujan ([Ebook]) / by M. Ram Murty, V. Kumar Murty.
Author	Murty, Maruti Ram
Added Personal Name	Murty, V. Kumar
Other name(s)	SpringerLink (Online service)
Publication	New Delhi ; New York : Springer India
Publication	, 2013.
Physical Details	XI, 186 pages : online resource.
ISBN	9788132207702
Summary Note	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 Ramanujanâs 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 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujanâs significant papers and show how these papers shaped the course of modern mathematics. Â :
Contents note	Preface -- Chapter 1. The Legacy of Srinivasa Ramanujan -- Chapter 2. The Ramanujan tau function -- Chapter 3. Ramanujanâs conjecture and l-adic 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 Sato-Tate conjecture for the Ramanujan tau-function -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-81-322-0770-2
Links to Related Works	Subject References: Algebra . Combinatorics . Fourier Analysis . Functions, Special . History of Mathematical Sciences . Mathematicians - India - Biography . Mathematics - History . Number Theory . Authors: author . Murty, Maruti Ram . Murty, V. Kumar . Corporate Authors: SpringerLink (Online service) . Classification: 512.7 . 512.7 (DDC 23) .

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The Mathematical Legacy of Srinivasa Ramanujan

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