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Record Nr. |
UNINA9910817652703321 |
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Autore |
Hei-Chi Chan |
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Titolo |
An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" / / by Hei-Chi Chan |
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Pubbl/distr/stampa |
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Singapore, : World Scientific Pub. Co., 2011 |
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ISBN |
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1-283-23505-6 |
9786613235053 |
981-4343-85-4 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (237 p.) |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. 1. Jacobi's triple product identity -- pt. 2. The Rogers-Ramanujan identitites -- pt. 3. The Rogers-Ramanujan continued fraction -- pt. 4. From the "most beautiful identity" to Ramanujan's congruences. |
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Sommario/riassunto |
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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 techn |
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