Ramanujan s Lost Notebook : Part I
This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this public...
Na minha lista:
| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
2005.
Cham : Springer Nature |
| Acesso em linha: | 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: | • Ramanujan's lost notebook, Part I, [edited by] George E. Andrews, Bruce Berndt, 2005, New York, Springer, 1 volume (XIV-437 pages), 0-387-25529-X • Ramanujan's Lost Notebook, Texte imprimé, 9780387506401 • Ramanujan's Lost Notebook, Texte imprimé, 9781441920621 • Ramanujan's Lost Notebook, Texte imprimé, 9781493976232 • Ramanujan's Lost Notebook, Texte imprimé, 9781493976256 |
| LEADER | 04821nam a22003737a 4500 | ||
|---|---|---|---|
| 001 | 947826 | ||
| 008 | 080409s2005 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123072921 | ||
| 020 | |a 9780387281247 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 100 | 1 | |a Ramanujan, Srinivasa, |d 1887-1920, |c mathématicien. | |
| 245 | 1 | 0 | |a Ramanujan s Lost Notebook : |b Part I |c by George E. Andrews, Bruce Berndt. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Inroduction -- Rogers-Ramanujan Continued Fraction and Its Modular Properties -- Explicit Evaluations of the Rogers-Ramanujan Continued Fraction -- A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions -- The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series -- Finite Rogers-Ramanujan Continued Fractions -- Other q-continued Fractions -- Asymptotic Formulas for Continued Fractions -- Ramanujan s Continued Fraction for (q2;q3)?/(q;q3)? -- The Rogers-Fine Identity -- An Empirical Study of the Rogers-Ramanujan Identities -- Rogers-Ramanujan-Slater Type Identities -- Partial Fractions -- Hadamard Products for Two q-Series -- Integrals of Theta Functions -- Incomplete Elliptic Integrals -- Infinite Integrals of q-Products -- Modular Equations in Ramanujan s Lost Notebook -- Fragments on Lambert Series. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This volume is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook. In addition to the lost notebook, this publication contains copies of unpublished manuscripts in the Oxford library, in particular, his famous unpublished manuscript on the partition and tau-functions; fragments of both published and unpublished papers; miscellaneous sheets; and Ramanujan's letters to G. H. Hardy, written from nursing homes during Ramanujan's final two years in England. This volume contains accounts of 442 entries (counting multiplicities) made by Ramanujan in the aforementioned publication. The present authors have organized these claims into eighteen chapters, containing anywhere from two entries in Chapter 13 to sixty-one entries in Chapter 17. Most of the results contained in Ramanujan's Lost Notebook fall under the purview of q-series. These include mock theta functions, theta functions, partial theta function expansions, false theta functions, identities connected with the Rogers-Fine identity, several results in the theory of partitions, Eisenstein series, modular equations, the Rogers-Ramanujan continued fraction, other q-continued fractions, asymptotic expansions of q-series and q-continued fractions, integrals of theta functions, integrals of q-products, and incomplete elliptic integrals. Other continued fractions, other integrals, infinite series identities, Dirichlet series, approximations, arithmetic functions, numerical calculations, diophantine equations, and elementary mathematics are some of the further topics examined by Ramanujan in his lost notebook. | ||
| 700 | 1 | |a Andrews, George E., |d 1938- |4 aut | |
| 700 | 1 | |a Berndt, Bruce Carl, |d 1939- |4 aut | |
| 776 | 0 | |0 090338804 |t Ramanujan's lost notebook |o Part I |f [edited by] George E. Andrews, Bruce Berndt |d 2005 |c New York |n Springer |p 1 volume (XIV-437 pages) |z 0-387-25529-X | |
| 776 | 0 | |t Ramanujan's Lost Notebook |b Texte imprimé |z 9780387506401 | |
| 776 | 0 | |t Ramanujan's Lost Notebook |b Texte imprimé |z 9781441920621 | |
| 776 | 0 | |t Ramanujan's Lost Notebook |b Texte imprimé |z 9781493976232 | |
| 776 | 0 | |t Ramanujan's Lost Notebook |b Texte imprimé |z 9781493976256 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/0-387-28124-X |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LK070WK1-7 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748048561 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/0-387-28124-X |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751499722 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/0-387-28124-X |z Accès INSA CVL | |
| 997 | |0 947826 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||