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Ramanujan's Lost Notebook

Ramanujan's Lost Notebook

Part V

by George E. Andrews and Bruce C. Berndt
Hardback
Publication Date: 17/05/2018

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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.

ISBN:
9783319778327
9783319778327
Category:
Calculus & mathematical analysis
Format:
Hardback
Publication Date:
17-05-2018
Language:
English
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Dimensions (mm):
235x155mm
Weight:
0.83kg

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