Ramanujan's Lost Notebook Part V /

• Κύριοι συγγραφείς: Andrews, George E. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Berndt, Bruce C. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Special functions.; Functions of complex variables.; Number theory.; Special Functions.; Functions of a Complex Variable.; 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...

Πίνακας περιεχομένων:

• Preface
• 1. Introduction
• 2. Third Order Mock Theta Functions: Elementary Identities
• 3. Fifth Order Mock Theta Functions: Elementary Identities
• 4. Third Order Mock Theta Functions: Partial Fraction Expansions
• 5. The Mock Theta Conjectures: Equivalence
• 6. Fifth Order Mock Theta Functions: 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 Functions: Part II, Identities for phi10(q), psi10(q)
• 10. Tenth Order Mock Theta Functions: Part III, Identities for ch10(q), kh10(q)
• 11. Tenth Order Mock Theta Functions. Part IV
• 12. Transformation Formulas: 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.