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

Name: Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity"
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05070442
Price: 123.23 EUR
Availability: InStock

Hei-Chi Chan

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 05070442

Nakladateľstvo World Scientific Publishing Co Pte Ltd, apríl 2011

The aim of this lecture notes is to provide a self-contained exposition of several fascinating formu... Celý popis

Libristo kód: 05070442

309 b

123.23 €

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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: 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 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.