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.
Rezensionen / Stimmen
A great strength of this book is that almost every major result is proven in several different ways, illustrating the breadth of approaches to q-series ... This book is well written with results that are well motivated and clearly explained. It is an excellent and statisfying introduction to q-series. -- Mathematical Reviews "Mathematical Reviews"
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Graduate students and researchers in number theory
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 17 mm
Gewicht
ISBN-13
978-981-4343-84-8 (9789814343848)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Univ Of Illinois At Springfield, Usa
Jacob's Triple Product Identity; The Rogers-Ramanujan Identities; The rogers-Ramanujan continued Fraction; From the "Most Beautiful Identity" to Ramanujan's Congruences.
