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Invitation To Q-series, An: From Jacobi’s Triple Product Identity To Ramanujan’s "Most Beautiful Identity"
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From Jacobi's Triple Product Identity to Ramanujan's âÂÂMost Beautiful IdentityâÂÂ
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Artikel-Nr:
9789814343855
Veröffentl:
2011
Seiten:
236
Autor:
Hei-chi Chan
eBook Typ:
PDF
eBook Format:
Reflowable
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:
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 â a result that convinced G H Hardy that Ramanujan was a âmathematician of the highest classâ, and (2) what G. H. Hardy called Ramanujan's âMost Beautiful Identityâ. 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.