INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY"

Chan Hei-Chi

ISBN 10: 9814343846 / ISBN 13: 9789814343848

Published by World Scientific Publishing Company, 2011

About this Item

Seller Inventory # I-9789814343848

Bibliographic Details

• Title: INVITATION TO Q-SERIES, AN: FROM JACOBI'S TRIPLE PRODUCT IDENTITY TO RAMANUJAN'S "MOST BEAUTIFUL IDENTITY"
• Publisher: World Scientific Publishing Company
• Publication Date: 2011
• Language: English
• ISBN 10: 9814343846
• ISBN 13: 9789814343848
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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.