Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity"

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A01=Hei-chi Chan
Author_Hei-chi Chan
Category=PBK
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Ramanujan Congruences
Ramanujan's "Most Beautiful Identity"
Ramanujan's AcAEURAoeMost Beautiful IdentityAcAEURA?
Ramanujan's “Most Beautiful Identity”
Rogers-Ramanujan Continued Fraction
Rogers-Ramanujan Identities
RogersAcAEURA"Ramanujan Continued Fraction
RogersAcAEURA"Ramanujan Identities
Rogers–Ramanujan Continued Fraction
Rogers–Ramanujan Identities

Product details

  • ISBN 9789814343848
  • Publication Date: 07 Apr 2011
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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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