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Heng Huat Chan 
Theta functions, elliptic functions and π 

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Copertina di Heng Huat Chan: Theta functions, elliptic functions and π (ePUB)
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.
€49.95
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Tabella dei contenuti

Introduction
Chapter 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/π
Chapter 9. The Gauss-Brent-Salamin algorithm for π
References

Circa l’autore

Heng Huat Chan, National University of Singapore, Singapore.
Lingua Inglese ● Formato EPUB ● Pagine 138 ● ISBN 9783110540758 ● Dimensione 14.0 MB ● Casa editrice De Gruyter ● Città Berlin/Boston ● Pubblicato 2020 ● Edizione 1 ● Scaricabile 24 mesi ● Moneta EUR ● ID 7528143 ● Protezione dalla copia Adobe DRM
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