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...
Gardado en:
| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
India :
Springer India
2013.
Cham : Springer Nature |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Table des matières:
- 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