These notes present new as well as classical results from the theory of theta functions on Riemann surfaces, a subject of renewed interest in recent years. Topi

There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic ex

The investigation of the relationships between compact Riemann surfaces (al gebraic curves) and their associated complex tori (Jacobi varieties) has long been b

The present volume is the culmination often years' work separately and joint ly. The idea of writing this book began with a set of notes for a course given by o

In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical in