An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity
Chan, Hei-Chi
An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity / Hei-Chi Chan - Singapore :World Scientific Pub Co ©2011 - 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
9789814343848
International Book Distributors ;Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Mathematics
Analysis
Identité de Jacobi
Identités de Rogers-Ramanujan
Jacobi identity
Séries Q
q-series
515.243 CHA
An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity / Hei-Chi Chan - Singapore :World Scientific Pub Co ©2011 - 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
9789814343848
International Book Distributors ;Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Mathematics
Analysis
Identité de Jacobi
Identités de Rogers-Ramanujan
Jacobi identity
Séries Q
q-series
515.243 CHA
