An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" / / by Hei-Chi Chan

• Autore: Hei-Chi Chan
• Pubblicazione: Singapore, : World Scientific Pub. Co., 2011
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (237 p.)
• Disciplina: 515.243
• Soggetto topico: q-series
• Note generali: Title from t.p. verso.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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
• Titolo autorizzato: An invitation to q-series
• ISBN: 1-283-23505-6; 9786613235053; 981-4343-85-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910817652703321
• Lo trovi qui: Univ. Federico II