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An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" /
The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction -- a result that convinced G H Hardy that Ramanujan was a...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Pub Co.,
©2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction -- a result that convinced G H Hardy that Ramanujan was a "mathematician of the highest class", and (2) what G.H. Hardy called Ramanujan's "Most Beautiful Identity". This book covers a range of related results, such as several proofs of the famous Rogers-Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series |
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| Descripción Física: | 1 online resource (ix, 226 pages) : illustrations |
| Bibliografía: | Includes appendices, bibliographical references (pages 213-223), and index. |
| ISBN: | 9789814343855 9814343854 1283235056 9781283235051 |