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An Invitation to Q-Series

An Invitation to Q-Series

Hardcover

General Mathematics

ISBN10: 9814343846
ISBN13: 9789814343848
Publisher: World Scientific Publishing Company
Published: Apr 17 2011
Pages: 236
Weight: 1.25
Height: 0.90 Width: 6.10 Depth: 9.00
Language: English

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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General Mathematics