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...
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| Auteurs principaux: | , |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
India :
Springer India
2013.
Cham : Springer Nature |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The mathematical legacy of Srinivasa Ramanujan, M. Ram Murty, V. Kumar Murty, New Delhi, Springer, 2013, 1 vol. (XI-184 p.), 978-81-322-0769-6 |
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| 100 | 1 | |a Murty, Maruti Ram, |d 1953-...., |c mathématicien. | |
| 245 | 1 | 0 | |a The mathematical legacy of Srinivasa Ramanujan |c by M. Ram Murty, V. Kumar Murty. |
| 260 | |a India : |b Springer India. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 700 | 1 | |a Murty, Vijaya Kumar, |d 1956- |4 aut | |
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