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(Ebook) An Invitation to Q-Series: From Jacobi's Triple Product Identity to Ramanujan's Most Beautiful Identity by Hei-chi Chan ISBN 9789814343848, 9814343846

  • SKU: EBN-2401580
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Instant download (eBook) An Invitation to Q-Series: From Jacobi's Triple Product Identity to Ramanujan's Most Beautiful Identity after payment.
Authors:Hei-chi Chan
Pages:237 pages.
Year:2011
Editon:1
Publisher:World Scientific
Language:english
File Size:1.22 MB
Format:pdf
ISBNS:9789814343848, 9814343846
Categories: Ebooks

Product desciption

(Ebook) An Invitation to Q-Series: From Jacobi's Triple Product Identity to Ramanujan's Most Beautiful Identity by Hei-chi Chan ISBN 9789814343848, 9814343846

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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