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Cooper, Shaun

Ramanujan's Theta Functions

Cooper, Shaun - Ramanujan's Theta Functions, ebook

169,10€

Ebook, PDF with Adobe DRM
ISBN: 9783319561721
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Table of contents

1. Sum to Product Identities
Shaun Cooper

2. Elliptic Functions
Shaun Cooper

3. Transformations
Shaun Cooper

4. Theta Functions
Shaun Cooper

5. Levels 1, 2, 3, and 4: Jacobi’s Inversion Theorem and Ramanujan’s Alternative Theories
Shaun Cooper

6. Level 5: The Rogers–Ramanujan Continued Fraction
Shaun Cooper

7. Level 6: Ramanujan’s Cubic Continued Fraction
Shaun Cooper

8. Level 7
Shaun Cooper

9. Level 8: The Ramanujan–Göllnitz–Gordon Continued Fraction
Shaun Cooper

10. Level 9
Shaun Cooper

11. Level 10: Ramanujan’s Function k

Shaun Cooper

12. Levels 11 and 23
Shaun Cooper

13. Level 12
Shaun Cooper

14. Hypergeometric Modular Transformations
Shaun Cooper

15. Ramanujan’s Series for 1∕π

Shaun Cooper

Keywords: Mathematics, Number Theory, Algebraic Geometry

Author(s)
Publisher
Springer
Publication year
2017
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319561721
Printed ISBN
978-3-319-56171-4

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