Ramanujan's Lost Notebook Part III /

• Main Authors: Andrews, George E. (Author), Berndt, Bruce C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2012.
• Subjects: Mathematics.; Number theory.; Number Theory.

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon des...

Table of Contents:

• Preface
• Introduction
• 1. Ranks and Cranks, Part I
• 2. Ranks and Cranks, Part II
• 3. Ranks and Cranks, Part III
• 4. Ramanujan's Unpublished Manuscript on the Partition and Tau Functions
• 5. Theorems about the Partition Function on Pages 189 and 182
• 6. Congruences for Generalized Tau Functions on Page 178
• 7. Ramanujan's Forty Identities for the Rogers-Ramanujan Functions
• 8. Circular Summation
• 9. Highly Composite Numbers
• Scratch Work
• Location Guide
• Provenance
• References.