Number Theory in the Spirit of Ramanujan
About this Title
Bruce C. Berndt, University of Illinois, Urbana-Champaign, Urbana, IL
Publication: The Student Mathematical Library
Publication Year
2006: Volume 34
ISBNs: 978-0-8218-4178-5 (print); 978-1-4704-2145-8 (online)
DOI: http://dx.doi.org/10.1090/stml/034
MathSciNet review: MR2246314
MSC: Primary 11-02; Secondary 11F20, 11P81, 11P83, 33C75, 33D15, 33E05
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. Congruences for $p(n)$ and $\tau (n)$
- Chapter 3. Sums of squares and sums of triangular numbers
- Chapter 4. Eisenstein series
- Chapter 5. The connection between hypergeometric functions and theta functions
- Chapter 6. Applications of the primary theorem of Chapter 5
- Chapter 7. The Rogers-Ramanujan continued fraction