Theta functions, elliptic functions and by Heng Huat Chan
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Heng Huat Chan, National University of Singapore, Singapore.
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/
Chapter 9. The Gauss-Brent-Salamin algorithm for
References