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, Hecke ope...
Guardat en:
| Autors principals: | , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
New York, NY :
Springer New York
2005.
Cham : Springer Nature |
| Edició: | 1st ed. 2005. |
| Col·lecció: | Graduate Texts in Mathematics
228 |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A First Course in Modular Forms, Texte imprimé, 9780387232294 • A First Course in Modular Forms, Texte imprimé, 9780387502670 • A first course in modular forms, Fred Diamond, Jerry Shurman, 2005, New York, Springer, 1 vol. (XVI-438 p.), Graduate texts in mathematics, 978-1-4419-2005-8 • A First Course in Modular Forms, Texte imprimé, 9780387232294 |
Taula de continguts:
- 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