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Contenido

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.

   INDICE: Jacob's Triple Product Identity; The Rogers-Ramanujan Identities; The rogers-Ramanujan continued Fraction; From the “Most Beautiful Identity” to Ramanujan's Congruences.

Detalles del artículo

• Páginas : 236
• Editorial : World Scientific
• Idioma : Inglés
• Fecha de Publicación : 04/06/2011
• ISBN: 9789814343848
• Encuadernación : Cartoné
• Nº Volúmenes : 1
• País de Publicación : Singapur