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<p>This book introduces the theory of modular forms with an eye toward the Modularity Theorem:</p> <p></p> <p>All rational elliptic curves arise from modular forms.</p> <p></p> <p>The topics covered include</p> <p>* elliptic curves as complex tori and as algebraic curves,</p> <p>* modular curves as Riemann surfaces and as algebraic curves,</p> <p>* Hecke operators and Atkin--Lehner theory,</p> <p>* Hecke eigenforms and their arithmetic properties,</p> <p>* the Jacobians of modular curves and the
Who reads A First Course in Modular Forms F Diamond J Shurman Springer?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Fred Diamond; Jerry Michael Shurman
- Publisher
- Springer Science & Business Media
- Published
- 2005
- Language
- EN
- ISBN
- 9781441920058
- Category
- mathematics
- Subjects
- Stochastic Processes, Number Theory, Mathematics
- Updated
- 2026-03-25
Other editions & translations
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