Invitation to Q-Series, An: From Jacobi's Triple Product Identity to Ramanujan's Most Beautiful Identity (Hardcover) (ISBN-13: 9789814343848)

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.

Author: Hei-Chi Chan
ISBN-10: 9814343846
ISBN-13: 9789814343848
Publisher: World Scientific Publishing Company
Language: English
Published: 04/07/2011
Pages: 236
Format: Hardcover
Weight: 1.25lbs
Size: 9.00h x 6.10w x 0.90d