Number theory in the spirit of Ramanujan

Includes Index.

Includes Bibliography references (p 171-187).

1. Introduction
2. Congruences for [partition function] and [tau function]
3. Sums of squares and sums of triangular numbers
4. Eisenstein series
5. The connection between hypergeometric functions and theta functions
6. Applications of the primary theorem of chapter 5
7. The Rogers-Ramanujan continued fraction.

The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Bruce Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.