Theta functions, elliptic functions and pi
(Sprache: Englisch)
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta...
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Klappentext zu „Theta functions, elliptic functions and pi “
This book presents several results on elliptic functions and Pi, using Jacobi's triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan's work on Pi. The included exercises make it ideal for both classroom use and self-study.
Inhaltsverzeichnis zu „Theta functions, elliptic functions and pi “
IntroductionChapter 1. Euler's identities and Jacobi's triple product identity
Chapter 2. Jacobi's theta functions and Jacobi' triple product identity
Chapter 3. Generalization of Jacobi;'s theta functions
Chapter 4. Ramanujan's differential equations for Eisenstein series
Chapter 5. The Weierstrass elliptic functions
Chapter 6. Jacobi's elliptic functions
Chapter 7. Hypergeometric series
Chapter 8. Ramanujan's series for 1/pi
Chapter 9. The Gauss-Brent-Salamin algorithm for pi
References
Autoren-Porträt von Heng Huat Chan
Heng Huat Chan, National University of Singapore, Singapore.
Bibliographische Angaben
- Autor: Heng Huat Chan
- 2020, XVI, 122 Seiten, 4 Schwarz-Weiss-Abbildungen, mit Abbildungen, Masse: 15,9 x 23,4 cm, Kartoniert (TB), Englisch
- Verlag: De Gruyter
- ISBN-10: 3110540711
- ISBN-13: 9783110540710
- Erscheinungsdatum: 10.07.2020
Sprache:
Englisch
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