01713nam a22002897a 450000500170000000800410001702000180005802801360007608200160021210000180022824501270024626000480037330000210042136500090044252006220045165000160107365000130108965000250110265000360112765000200116365000150118365000130119870000180121194200080122999900170123795201690125420220826114929.0220826b        |||||||| |||| 00| 0 eng d  a9789814343848  a:International Book Distributorsb;Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi	c:118127d:12/08/2022	  a515.243 CHA  aChan, Hei-Chi  aAn invitation to q-seriesb: from Jacobi's triple product identity to Ramanujan's "most beautiful identityc/ Hei-Chi Chan  aSingaporeb:World Scientific Pub Coc©2011  aix, 226pc24cm.   b8800  aThe 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  aMathematics  aAnalysis  aIdentité de Jacobi  aIdentités de Rogers-Ramanujan  aJacobi identity  aSéries Q  aq-series  aChan, Hei-Chi  cMDL  c59585d59585  00102ddc4070aMDLbSNULd2022-08-26eInternational Book Distributorsg8800.00l1o515.243 CHApM391q2023-09-01r2022-09-30 00:00:00s2022-09-30w2022-08-26yMDL