Ramanujan's Theta Functions

Shaun Cooper ()
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Shaun Cooper: Massey University, Institute of Natural and Mathematical Sciences

in Springer Books from Springer

Date: 2017
ISBN: 978-3-319-56172-1
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Chapters in this book:

Ch Chapter 0 Sum to Product Identities

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Ch Chapter 1 Elliptic Functions

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Ch Chapter 10 Level 10: Ramanujan’s Function k

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Ch Chapter 11 Levels 11 and 23

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Ch Chapter 12 Level 12

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Ch Chapter 13 Hypergeometric Modular Transformations

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Ch Chapter 14 Ramanujan’s Series for 1∕π

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Ch Chapter 2 Transformations

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Ch Chapter 3 Theta Functions

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Ch Chapter 4 Levels 1, 2, 3, and 4: Jacobi’s Inversion Theorem and Ramanujan’s Alternative Theories

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Ch Chapter 5 Level 5: The Rogers–Ramanujan Continued Fraction

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Ch Chapter 6 Level 6: Ramanujan’s Cubic Continued Fraction

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Ch Chapter 7 Level 7

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Ch Chapter 8 Level 8: The Ramanujan–Göllnitz–Gordon Continued Fraction

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Ch Chapter 9 Level 9

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DOI: 10.1007/978-3-319-56172-1

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