An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" /
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Author / Creator: | Chan, Hei-Chi. |
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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 |
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. |
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Physical Description: | 1 online resource (ix, 226 pages) : illustrations |
Bibliography: | Includes appendices, bibliographical references (pages 213-223), and index. |
ISBN: | 9789814343855 9814343854 1283235056 9781283235051 9789814343848 9814343846 |