Ramanujan's Lost Notebook: Part V
Andrews, George E., Berndt, Bruce C.
- 出版商: Springer
- 出版日期: 2018-12-26
- 售價: $6,440
- 貴賓價: 9.5 折 $6,118
- 語言: 英文
- 頁數: 430
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3030085503
- ISBN-13: 9783030085506
海外代購書籍(需單獨結帳)
商品描述
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.
作者簡介
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.
