TY  - BOOK
AU  - Chan, Hei-Chi
AU  - Chan, Hei-Chi
TI  - An invitation to q-series: : from Jacobi's triple product identity to Ramanujan's "most beautiful identity
SN  - 9789814343848
U1  - 515.243 CHA 
PY  - 2011///
CY  - Singapore
PB  - :World Scientific Pub Co
KW  - Mathematics
KW  - Analysis
KW  - Identité de Jacobi
KW  - Identités de Rogers-Ramanujan
KW  - Jacobi identity
KW  - Séries Q
KW  - q-series
N2  - 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
ER  -