An invitation to q-series : from Jacobi's triple product identity to Ramanujan's "most beautiful identity" / by Hei-Chi Chan.

Format:

Book

Author/Creator:

Hei-Chi, Chan, author.

Language:

English

Subjects (All):

q-series.

Physical Description:

1 online resource (237 pages)

Place of Publication:

Hackensack, NJ : World Scientific Publising Company, [2011].

Language Note:

English

Summary:

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 techn

Contents:

pt. 1. Jacobi's triple product identity

pt. 2. The Rogers-Ramanujan identitites

pt. 3. The Rogers-Ramanujan continued fraction

pt. 4. From the "most beautiful identity" to Ramanujan's congruences.

Notes:

Title from t.p. verso.

Includes bibliographical references and index.

ISBN:

9786613235053

9781283235051

1283235056

9789814343855

9814343854

OCLC:

858228514