Theta functions, elliptic functions and π

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.

• A pedagogical presentation of elliptic functions, modular forms, and Ramanujan's work on Pi.


• Connects several parts of number theory through Jacobi’s triple product identity.


• Includes exercises, making it also suitable for self-study.