An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" /

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Bibliographic Details
Author / Creator:Chan, Hei-Chi.
Imprint:Singapore : World Scientific Pub Co., ©2011.
Description:1 online resource (ix, 226 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11279816
Hidden Bibliographic Details
ISBN:9789814343855
9814343854
1283235056
9781283235051
9789814343848
9814343846
Notes:Includes appendices, bibliographical references (pages 213-223), and index.
Print version record.
Summary: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.
Other form:Print version: Chan, Hei-Chi. Invitation to q-series. Singapore : World Scientific Pub Co., ©2011 9789814343848