Book:Bruce C. Berndt/Ramanujan's Notebooks: Part III

Subject Matter

 * Analytic Number Theory

Contents

 * Preface


 * Introduction


 * $16$ $q$-Series and Theta-Functions


 * $17$ Fundamental Properties of Elliptic Functions


 * $18$ The Jacobian Elliptic Functions


 * $19$ Modular Equations of Degrees $3$, $5$, and $7$ and Associated Theta-Function Identities


 * $20$ Modular Equations of Higher and Composite Degrees


 * $21$ Eisenstein Series


 * References


 * Index