: from Jacobi's triple product identity to Ramanujan's "most beautiful identity Chan, Hei-Chi creator Chan, Hei-Chi text Singapore :World Scientific Pub Co ©2011 monographic eng

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ix, 226p 24cm. 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 / Hei-Chi Chan Mathematics Analysis Identité de Jacobi Identités de Rogers-Ramanujan Jacobi identity Séries Q q-series 515.243 CHA 9789814343848 :International Book Distributors ;Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi 220826 20220826114929.0