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Modular Forms, a Computational Approach
About this Title
William Stein, University of Washington, Seattle, WA
Publication: Graduate Studies in Mathematics
Publication Year:
2007; Volume 79
ISBNs: 978-0-8218-3960-7 (print); 978-1-4704-1803-8 (online)
DOI: https://doi.org/10.1090/gsm/079
MathSciNet review: MR2289048
MSC: Primary 11F11; Secondary 11-01, 11F67, 11Y16, 11Y35
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Modular forms
- Chapter 2. Modular forms of level $1$
- Chapter 3. Modular forms of weight $2$
- Chapter 4. Dirichlet characters
- Chapter 5. Eisenstein series and Bernoulli numbers
- Chapter 6. Dimension formulas
- Chapter 7. Linear algebra
- Chapter 8. General modular symbols
- Chapter 9. Computing with newforms
- Chapter 10. Computing periods
- Chapter 11. Solutions to selected exercises
- Appendix A. Computing in higher rank