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008 220826b |||||||| |||| 00| 0 eng d
020 _a9789814343848
028 _a:International Book Distributors
_b;Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
_c:118127
_d:12/08/2022
082 _a515.243 CHA
100 _aChan, Hei-Chi
245 _aAn invitation to q-series
_b: from Jacobi's triple product identity to Ramanujan's "most beautiful identity
_c/ Hei-Chi Chan
260 _aSingapore
_b:World Scientific Pub Co
_c©2011
300 _aix, 226p
_c24cm.
365 _b8800
520 _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
650 _aMathematics
650 _aAnalysis
650 _aIdentité de Jacobi
650 _aIdentités de Rogers-Ramanujan
650 _aJacobi identity
650 _aSéries Q
650 _aq-series
700 _aChan, Hei-Chi
942 _cMDL
999 _c59585
_d59585