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

From Jacobi's Triple Product Identity to Ramanujan's âÂÂMost Beautiful IdentityâÂÂ

Hei-Chi Chan (Autor)

eBook Download: PDF

2011
236 Seiten
World Scientific Publishing Company (Verlag)
978-981-4343-85-5 (ISBN)

Infos

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 â a result that convinced G H Hardy that Ramanujan was a âmathematician of the highest classâ, and (2) what G. H. Hardy called Ramanujan's âMost Beautiful Identityâ. 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.

Produkt-Details

• Erscheint lt. Verlag: 4.4.2011
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 981-4343-85-4 / 9814343854
• ISBN-13: 978-981-4343-85-5 / 9789814343855