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COMPUTATIONS WITH MODULAR FORMS
by Lloyd Kilford (University of Bristol, UK)
This book presents a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators. It also includes applications of modular forms to such diverse subjects as the theory of quadratic forms, the proof of Fermat’s last theorem and the approximation of pi. It provides a balanced overview of both the theoretical and computational sides of the subject, allowing a variety of courses to be taught from it.
Contents:
- Historical Overview
- Introduction to Modular Forms
- Arithmetic of
Modular Forms
- Applications of Modular Forms
- Mod p Modular Forms
- p-adic Modular Forms
- Computing with Modular Forms
- Appendices on MAGMA Code for Classical Modular Forms
- SAGE Code for Classical Modular Forms
- Hints and Answers to the Exercises
Readership: Academics, researchers and graduate students in number theory and
computational mathematics.
| 200pp (approx.) |
Pub. date: Scheduled Fall 2008 |
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