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An Invitation to Q-Series: From Jacobi's Triple Product Identity to Ramanujan's

An Invitation to Q-Series: From Jacobi's Triple Product Identity to Ramanujan's "Most Beautiful Identity"

di Hei-Chi Chan

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Descrizione

The aim of this 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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