A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hec...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
2005.
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Σειρά: | Graduate Texts in Mathematics,
228 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Modular Forms, Elliptic Curves, and Modular Curves
- Modular Curves as Riemann Surfaces
- Dimension Formulas
- Eisenstein Series
- Hecke Operators
- Jacobians and Abelian Varieties
- Modular Curves as Algebraic Curves
- The Eichler-Shimura Relation and L-functions
- Galois Representations. .