Ramanujan's Lost Notebook: Part V

by George E. Andrews

Preface.- 1. Introduction.- 2. Third Order Mock Theta Elementary Identities.- 3. Fifth Order Mock Theta Elementary Identities.- 4. Third Order Mock Theta  Partial Fraction Expansions.- 5. The Mock Theta Equivalence.- 6. Fifth Order Mock Theta Proof of the Mock Theta Conjectures.- 7. Sixth Order Mock Theta Functions.- 8. Tenth Order Mock Theta Functions. Part I, The First Four Identities.- 9. Tenth Order Mock Theta Part II, Identities for phi10(q),  psi10(q).- 10. Tenth Order Mock Theta Part III, Identities for ch10(q), kh10(q).- 11. Tenth Order Mock Theta Functions. Part IV.- 12. Transformation 10th Order Mock Theta Functions.- 13. Two Identities Involving a Mordell Integral and Appel-Lerch Sums.- 14. Ramanujan's Last Letter to Hardy.- 15. Euler Products in Ramanujan's Lost Notebook.- 16. Continued Fractions.- 17. Recent Work on Mock Theta Functions.- 18. Commentary on and Corrections to the First Four Volumes.- 19. The Continuing Mystery.- Location Guide.- Provenance.- References.- Index.

444 pages, Paperback

Published September 10, 2018