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The Mathematical Legacy of Srinivasa Ramanujan

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Cover of 'The Mathematical Legacy of Srinivasa Ramanujan'

Table of Contents

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    Book Overview
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    Chapter 1 The Legacy of Srinivasa Ramanujan
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    Chapter 2 The Ramanujan τ-Function
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    Chapter 3 Ramanujan’s Conjecture and ℓ-Adic Representations
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    Chapter 4 The Ramanujan Conjecture from GL(2) to GL(n)
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    Chapter 5 The Circle Method
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    Chapter 6 Ramanujan and Transcendence
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    Chapter 7 Arithmetic of the Partition Function
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    Chapter 8 Some Nonlinear Identities for Divisor Functions
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    Chapter 9 Mock Theta Functions and Mock Modular Forms
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    Chapter 10 Prime Numbers and Highly Composite Numbers
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    Chapter 11 Probabilistic Number Theory
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    Chapter 12 The Sato–Tate Conjecture for the Ramanujan τ-Function
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    Chapter 13 Erratum to: The Ramanujan τ-Function
Attention for Chapter 10: Prime Numbers and Highly Composite Numbers
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