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Ramanujan's Theta Functions

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Cover of 'Ramanujan's Theta Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Sum to Product Identities
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    Chapter 2 Elliptic Functions
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    Chapter 3 Transformations
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    Chapter 4 Theta Functions
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    Chapter 5 Levels 1, 2, 3, and 4: Jacobi’s Inversion Theorem and Ramanujan’s Alternative Theories
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    Chapter 6 Level 5: The Rogers–Ramanujan Continued Fraction
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    Chapter 7 Level 6: Ramanujan’s Cubic Continued Fraction
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    Chapter 8 Level 7
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    Chapter 9 Level 8: The Ramanujan–Göllnitz–Gordon Continued Fraction
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    Chapter 10 Level 9
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    Chapter 11 Level 10: Ramanujan’s Function k
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    Chapter 12 Levels 11 and 23
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    Chapter 13 Level 12
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    Chapter 14 Hypergeometric Modular Transformations
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    Chapter 15 Ramanujan’s Series for 1∕ π
Attention for Chapter 12: Levels 11 and 23
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Chapter title
Levels 11 and 23
Chapter number 12
Book title
Ramanujan's Theta Functions
Published by
Springer, Cham, January 2017
DOI 10.1007/978-3-319-56172-1_12
Book ISBNs
978-3-31-956171-4, 978-3-31-956172-1
Authors

Shaun Cooper, Cooper, Shaun

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