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Ramanujan’s forty identities for the Rogers-Ramanujan functions

About this Title

Bruce C. Berndt, Geumlan Choi, Youn-Seo Choi, Heekyoung Hahn, Boon Pin Yeap, Ae Ja Yee, Hamza Yesilyurt and Jinhee Yi

Publication: Memoirs of the American Mathematical Society
Publication Year 2007: Volume 188, Number 880
ISBNs: 978-0-8218-3973-7 (print); 978-1-4704-0484-0 (online)
MathSciNet review: 2323810
MSC: Primary 11P82; Secondary 11B65, 11P83, 33D15

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Table of Contents


  • 1. Introduction
  • 2. Definitions and preliminary results
  • 3. The forty identities
  • 4. The principal ideas behind the proofs
  • 5. Proofs of 35 of the 40 entries
  • 6. Asymptotic “proofs” of entries 3.28 (second part), 3.29, 3.30, 3.31, and 3.35
  • 7. New identities for $G_{(q)}$ and $H_{(q)}$ and final remarks