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

From Jacobi's Triple Product Identity to Ramanujan's âÂÂMost Beautiful IdentityâÂÂ

Hei-chi Chan

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World Scientific Publishing Company img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

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.

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