Ramanujan's Lost Notebook

George E. Andrews () and Bruce C. Berndt ()
Additional contact information
George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois, Department of Mathematics

in Springer Books from Springer

Date: 2018
ISBN: 978-3-319-77834-1
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Chapters in this book:

Ch 1 Introduction

George E. Andrews and Bruce C. Berndt

Ch 2 Third Order Mock Theta Functions: Elementary Identities

George E. Andrews and Bruce C. Berndt

Ch 3 Fifth Order Mock Theta Functions: Elementary Identities

George E. Andrews and Bruce C. Berndt

Ch 4 Third Order Mock Theta Functions: Partial Fraction Expansions

George E. Andrews and Bruce C. Berndt

Ch 5 The Mock Theta Conjectures: Equivalence

George E. Andrews and Bruce C. Berndt

Ch 6 Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures

George E. Andrews and Bruce C. Berndt

Ch 7 Sixth Order Mock Theta Functions

George E. Andrews and Bruce C. Berndt

Ch 8 Tenth Order Mock Theta Functions: Part I, The First Four Identities

George E. Andrews and Bruce C. Berndt

Ch 9 Tenth Order Mock Theta Functions: Part II, Identities for ϕ10(q), ψ10(q)

George E. Andrews and Bruce C. Berndt

Ch 10 Tenth Order Mock Theta Functions: Part III, Identities for χ10(q), X10(q)

George E. Andrews and Bruce C. Berndt

Ch 11 Tenth Order Mock Theta Functions: Part IV

George E. Andrews and Bruce C. Berndt

Ch 12 Transformation Formulas: 10th Order Mock Theta Functions

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Ch 13 Two Identities Involving a Mordell Integral and Appell–Lerch Sums

George E. Andrews and Bruce C. Berndt

Ch 14 Ramanujan’s Last Letter to Hardy

George E. Andrews and Bruce C. Berndt

Ch 15 Euler Products in Ramanujan’s Lost Notebook

George E. Andrews and Bruce C. Berndt

Ch 16 Continued Fractions

George E. Andrews and Bruce C. Berndt

Ch 17 Recent Work on Mock Theta Functions

George E. Andrews and Bruce C. Berndt

Ch 18 Commentary on and Corrections to the First Four Volumes

George E. Andrews and Bruce C. Berndt

Ch 19 The Continuing Mystery

George E. Andrews and Bruce C. Berndt

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DOI: 10.1007/978-3-319-77834-1

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