Ramanujan's Lost Notebook

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Third Order Mock Theta Functions: Elementary Identities
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   Chapter 3 Fifth Order Mock Theta Functions: Elementary Identities
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   Chapter 4 Third Order Mock Theta Functions: Partial Fraction Expansions
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   Chapter 5 The Mock Theta Conjectures: Equivalence
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   Chapter 6 Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures
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   Chapter 7 Sixth Order Mock Theta Functions
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   Chapter 8 Tenth Order Mock Theta Functions: Part I, The First Four Identities
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    Chapter 9 Tenth Order Mock Theta Functions: Part II, Identities for ϕ 10 ( q ), ψ 10 ( q )
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    Chapter 10 Tenth Order Mock Theta Functions: Part III, Identities for χ 10 ( q ), X 10 ( q )
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    Chapter 11 Tenth Order Mock Theta Functions: Part IV
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    Chapter 12 Transformation Formulas: 10th Order Mock Theta Functions
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    Chapter 13 Two Identities Involving a Mordell Integral and Appell–Lerch Sums
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    Chapter 14 Ramanujan’s Last Letter to Hardy
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    Chapter 15 Euler Products in Ramanujan’s Lost Notebook
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    Chapter 16 Continued Fractions
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    Chapter 17 Recent Work on Mock Theta Functions
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    Chapter 18 Commentary on and Corrections to the First Four Volumes
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    Chapter 19 The Continuing Mystery