An Invitation to Q-series

An Invitation to Q-series
Author :
Publisher : World Scientific
Total Pages : 237
Release :
ISBN-10 : 9789814343848
ISBN-13 : 9814343846
Rating : 4/5 (48 Downloads)

Book Synopsis An Invitation to Q-series by : Hei-Chi Chan

Download or read book An Invitation to Q-series written by Hei-Chi Chan and published by World Scientific. This book was released on 2011 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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