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

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.

Produktdetails

• Autoren: Hei-chi Chan, Hei-Chi Chan
• Verlag: World Scientific Publishing
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 07.04.2011
• EAN: 9789814343848
• ISBN: 978-981-4343-84-8
• Themen: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Sonstiges; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis