Ramanujan's Lost Notebook

George E. Andrews is currently a professor of mathematics at Pennsylvania State University. Bruce C. Berndt is currently a professor of mathematics at the University of Illinois.

• 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 Ramanujan's Unpublished Manuscript on the Partition and Tau Functions.- 5.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.

"This is the third volume in a series devoted to Ramanujan's lost notebook and related manuscripts. ... The number theory community has to thank the authors for their excellent and devoted work." (C. Baxa, Monatshefte Mathematik, 2015)