The Mathematical Legacy of Srinivasa Ramanujan

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Last edited by MARC Bot
December 14, 2022 | History

The Mathematical Legacy of Srinivasa Ramanujan

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 21st-century 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.

Publish Date
Language
English
Pages
184

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Edition Availability
Cover of: The Mathematical Legacy of Srinivasa Ramanujan
The Mathematical Legacy of Srinivasa Ramanujan
2013, Springer India, Imprint: Springer
electronic resource / in English

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Book Details


Table of Contents

Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
Chapter 3. Ramanujan’s 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.

Edition Notes

Published in
India

Classifications

Dewey Decimal Class
512.7
Library of Congress
QA241-247.5, QA1-939

The Physical Object

Format
[electronic resource] /
Pagination
XI, 184 p.
Number of pages
184

ID Numbers

Open Library
OL27073228M
Internet Archive
mathematicallega00murt
ISBN 13
9788132207702

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
December 14, 2022 Edited by MARC Bot import existing book
December 25, 2021 Edited by ImportBot import existing book
July 5, 2019 Created by MARC Bot Imported from Internet Archive item record