Automorphic Functions and Number Theory
(Sprache: Englisch)
Automorphic functions on the upper half plane, especially modular functions.- Elliptic curves and the fundamental theorems of the classical theory of complex multiplication.- Relation between the points of finite order on an elliptic curve and the modular...
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Klappentext zu „Automorphic Functions and Number Theory “
Automorphic functions on the upper half plane, especially modular functions.- Elliptic curves and the fundamental theorems of the classical theory of complex multiplication.- Relation between the points of finite order on an elliptic curve and the modular functions of higher level.- Abelian varieties and siegel modular functions.- The endomorphism-ring of an abelian variety; the field of moduli of an abelian variety with many complex multiplications.- The class-field-theoretical characterization of K¿ (?(z)).- A further method of constructing class fields.- The hasse zeta function of an algebraic curve.- Infinite galois extensions with l-adic representations.- Further generalization and concluding remarks.
Inhaltsverzeichnis zu „Automorphic Functions and Number Theory “
Automorphic functions on the upper half plane, especially modular functions.- Elliptic curves and the fundamental theorems of the classical theory of complex multiplication.- Relation between the points of finite order on an elliptic curve and the modular functions of higher level.- Abelian varieties and siegel modular functions.- The endomorphism-ring of an abelian variety; the field of moduli of an abelian variety with many complex multiplications.- The class-field-theoretical characterization of K' (?(z)).- A further method of constructing class fields.- The hasse zeta function of an algebraic curve.- Infinite galois extensions with l-adic representations.- Further generalization and concluding remarks.
Bibliographische Angaben
- Autor: Goro Shimura
- 1968, 76 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540042245
- ISBN-13: 9783540042242
- Erscheinungsdatum: 01.01.1968
Sprache:
Englisch
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