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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Diamond, Fred (Συγγραφέας), Shurman, Jerry (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2005.
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. .